At-Net Bull. 136
Alexander Klein
AT-NET BULLETIN NO. 136, 5.12.2006
Contributions to: at-n...@math.uni-giessen.de
Current editor: Martin Buhmann
*** Season's greetings from the Editor ***
WWW home-page: http://www.uni-giessen.de/www-Numerische-Mathematik/at-
net
+---------------------------------------------------------------------+
Contents:
1) Conferences in 2007
2) Professor Manfred W. Mueller
3) Special Issue Announcement: Linear Algebra and Applications
4) Special Issue Announcement: ENTA Special Volume dedicated to Gene
Golub
5) Table of Contents: Journal of Approximation Theory
6) Table of Contents: Constructive Approximation
7) Dolomites Workshop on Constr. Approximation, Some Notes on the
Conference
8) Positions at TU Berlin
9) Surveys in Approximation Theory (SAT)
+---------------------------------------------------------------------+
1) Conferences
2007, 26 Apr - 1 May (Cancun/Mexico) Fourth International
Conference on
Multivariate Approximation: Theory and Applications
2007, 18 - 22 June Third International Conference On Computational
Harmonic Analysis, Fudan Univ., Shanghai (China)
+---------------------------------------------------------------------+
2) From: Margareta Heilmann <Margareta...@math.uni-
wuppertal.de> and
Joachim Stoeckler <stoe...@math.uni-dortmund.de>
Obituary for Manfred W. Mueller 1936-2006
Manfred Mueller died on May 23rd, 2006, after a long illness. Our hope
for recovery after his treatment, unfortunately, did not come true. He
is survived by his wife Marianne. Many colleagues, friends and former
students share her deep mourning.
Manfred Mueller was born in Pisek in the Czechoslovak Republic on July
6, 1936. After his study of mathematics, physics, and philosophy at
the Technische Hochschule Stuttgart, he graduated in 1961 and
completed the final state examination for secondary school teachers in
1963. Under guidance of his thesis adviser Werner Meyer-Koenig, he
continued his academic career at the Technische Hochschule Stuttgart
and received his doctoral degree in 1967. After his habilitation in
1970, he accepted the call to the University of Dortmund, where he was
appointed Chair of Approximation Theory in 1973. In 1996, he was
awarded the honorary doctorate (Dr. h.c.) by the Universitatea "Lucian
Blaga" Sibiu in Romania.
Manfred Mueller's scientific work extends over more than 3 decades and
enjoys high international recognition. His publications mostly concern
the area of approximation theory.
He considered, in particular, the approximation of functions by
positive linear operators, including saturation, simultaneous
approximation, and global theorems for weighted and unweighted
approximation. Notably, the introduction and investigation of Gamma
operators has lead to long-lasting international cooperation with Dany
Leviatan and Alexandru Lupas. Since 1995, he organized three
international conferences, known to his colleagues as "Bommerholz"
conferences.
Manfred Mueller devoted a great part of his time to teaching
mathematics to students at all levels. His book
"Approximationstheorie" has accompanied many generations of students.
He had a great talent to inspire his students and was a dedicated
tutor to his diploma students and postgraduates. Several of his
students advanced to professor positions in universities and leading
positions in industry. His unfailing kindness and courtesy will be
remembered by his colleagues and students.
+----------------------------------------------------------------------+
3) From: Hans Schneider <ha...@math.wisc.edu>
LINEAR ALGEBRA AND ITS APPLICATIONS
Special issue on the JOINT SPECTRAL RADIUS
Second call for papers
The joint spectral radius is a measure of the maximal growth of
products of matrices taken from a set. Fuelled by applications in many
areas there has been intensive research on this topic over the last
two decades. This special issue aims to highlight the advances that
have been achieved in recent times and to generate a state of the art
account of the developments in algebraic and analytic theory of the
joint spectral radius, computational aspects and application areas.
Papers devoted to further subjects concerning long products of
matrices are also welcome.
Theoretical developments in the area have used methods from diverse
mathematical fields. Computational complexity theory has been used to
show that in general the joint spectral radius is hard to
determine, while convex analysis lies at the foundation of many
results obtained on analytic properties, and methods from ergodic
theory can be used to characterize the continuous time version of the
joint spectral radius in the framework of stochastic dynamical systems.
In order to make the broad scope of methods visible we encourage
submissions from all areas that have an impact on the understanding of
the joint spectral radius ranging from matrix analysis, numerical
analysis, algebraic theory of matrix semigroups, computational
complexity theory, stability theory of switched linear systems,
spectral theory of semigroups of matrices. Furthermore, long products of
matrices play a prominent role in certain areas in automata theory,
iterated functions systems and various other fields.
We note that depending on the authors the joint spectral radius is
also known as the maximal Lyapunov exponent or Lyapunov indicator, the
Bohl exponent or the exponential growth rate and we encourage the
submission of papers that create links to fields where notions similar
to the joint spectral radius are studied, e.g. papers on continuous
time versions of the joint spectral radius and extensions to infinite
dimensions.
The joint spectral radius has found numerous applications in diverse
areas; e.g. it has been used in coding theory to express the capacity
of certain channels, in the stability analysis of consensus algorithms,
to quantify the smoothness of wavelets obtained via dilation equations,
in combinatorial number theory, in probability to analyze the
distributions of random power series, in stability analysis of switched
linear systems, in approximation theory to verify the convergence of
subdivision algorithms,and in the theory of fractals and attractors. We
particularly invite papers that explore applications in these or other
areas.
All papers submitted must meet the publication standards of Linear
Algebra
and its Applications and will be refereed in the usual way. They
should be
submitted to one of the special editors of this issue listed below by 31
December 2006. Submission via email by sending a ps or pdf file is
encouraged.
Vincent Blondel
Department of Mathematical Engineering
Universite catholique de Louvain
4 Avenue George Lemaitre
B-1348 Louvain-la-Neuve
Belgium
vincent...@uclouvain.be
Micheal Karow
Department of Mathematics
Berlin University of Technology
Strasse des 17. Juni 136
10623 Berlin
Germany
ka...@math.tu-berlin.de
Vladimir Protasov
Department of Mechanics and Mathematics
Moscow State University
Vorobyovy Gory
119992 Moscow
Russia
vladimir_...@yahoo.com
Fabian Wirth
The Hamilton Institute
NUI Maynooth
Maynooth, Co. Kildare
Ireland
fabian...@nuim.ie
The responsible editor-in-chief of the special issue is:
Hans Schneider
Department of Mathematics
University of Wisconsin - Madison
Van Vleck Hall
480 Lincoln Drive
Madison, Wisconsin 53706
U.S.A.
email: ha...@math.wisc.edu
+----------------------------------------------------------------------+
4) From: Lothar Reichel <rei...@math.kent.edu>
FIRST CALL FOR PAPERS
SPECIAL VOLUME IN HONOR OF GENE H. GOLUB
ON THE OCCASION OF HIS 75th BIRTHDAY
ETNA, the Electronic Transactions on Numerical Analysis
(http://etna.mcs.kent.edu), is planning a special volume in
honor of Gene H. Golub on the occasion of his 75th birthday.
The special editors for this volume are:
Martin Gutknecht, Michael Overton, Lothar Reichel,
Daniel Szyld, Nick Trefethen, Paul Van Dooren, and Andy Wathen.
Papers can be submitted following the general ETNA
guidelines found on ETNA's web site (http://etna.mcs.kent.edu),
to any of the special editors, no later than February 29, 2007.
The papers will undergo the standard refereeing process.
+----------------------------------------------------------------------+
5) From: Paul Nevai <ne...@math.ohio-state.edu>
Table of Contents: J. Approx. Theory, Volume 142, Number 1,
September 2006
Online at www.sciencedirect.com/science/issue/6843-2006-998579998-631941
J\"{u}rgen Prestin and Daniela Ro\c{s}ca
On some cubature formulas on the sphere
1--19
Ulrich Abel
An identity for a general class of approximation operators
20--35
Frank Deutsch and Hein Hundal
The rate of convergence for the cyclic projections algorithm I: Angles
between convex sets
36--55
Frank Deutsch and Hein Hundal
The rate of convergence for the cyclic projections algorithm II: Norms
of nonlinear operators
56--82
Table of Contents: J. Approx. Theory, Volume 141, Number 2, August 2006
Online at www.sciencedirect.com/science/issue/6843-2006-998589997-629313
P. Bouboulis, Leoni Dalla, and V. Drakopoulos
Construction of recurrent bivariate fractal interpolation surfaces and
computation of their box-counting dimension
99--117
Kerstin Hesse and Ian H. Sloan
Cubature over the sphere $S^2$ in Sobolev spaces of arbitrary order
118--133
Len Bos, Stefano De Marchi and Marco Vianello
On the Lebesgue constant for the Xu interpolation formula
134--141
Avram Sidi
Algebraic properties of some new vector-valued rational interpolants
142--161
Szil\'{a}rd Gy. R\'{e}v\'{e}sz
Tur\'{a}n type reverse Markov inequalities for compact convex sets
162--173
A. Aptekarev, A. Cachafeiro, and F. Marcell\'{a}n
A scalar Riemann boundary value problem approach to orthogonal
polynomials on the circle
174--181
Michael J. Johnson
A note on the limited stability of surface spline interpolation
182--188
E. B. Davies and B. Simon
Eigenvalue estimates for non-normal matrices and the zeros of random
orthogonal polynomials on the unit circle
189--213
J. Bustamante and J. M. Quesada
On an extremal relation of Bernstein operators
214--215
Author index for Volume 141
216
+----------------------------------------------------------------------+
6) From: "Saff, Edward B" <edward...@vanderbilt.edu>
Constructive Approximation
Vol. 24 No. 3 2006
Table of Contents
"Probabilistic Adaptive Width of a Multivariate Sobolev Space
Equipped with a Gaussian Measure" by Chen Guanggui and Fang Gensun
Pages 245-262
"A Definiteness Theory for Cubature Formulae of Order Two"
by A. Guessab, O. Nouisser, and G. Schmeisser
Pages 263-288
"Smoothness Analysis of Subdivision Schemes by Proximity"
by J. Wallner
Pages 289-318
"Szego Orthogonal Polynomials with Respect to an Analytic Weight:
Canonical Representation and Strong Asymptotics" by A.
Martinez-Finkelshtein, K. T.-R. McLaughlin, and E.B. Saff Pages
319-363
"On a Conjecture of Carl de Boor Regarding the Limits of Lagrange
Interpolants" by B. Shekhtman
Pages 365-370
Vol. 23 No. 3 2006
Table of Contents
"Multiresolution Analysis by Spherical Up Functions"
by W. Freeden and M. Schreiner
Pages 241-259
"'Push-the-Error' Algorithm for Nonlinear n-Term Approximation"
by W. Dahmen and P. Petrushev
Pages 261-304
"The Mellin Transform in Quantum Calculus"
by A. Fitouhi, N. Bettaibi, and K. Brahim
Pages 305-323
"Function Spaces in Lipschitz Domains and Optimal Rates of Convergence
for Sampling"
by E. Novak and H. Triebel
Pages 325-350
"Bases in the Spaces of C^(infinity)-Functions on Cantor-Type Sets"
by A. Goncharov
Pages 351-360
+----------------------------------------------------------------------+
7) From: the Editor
At the beginning of September this year, the first Dolomites meeting on
approximation theory organised by Stefano De Marchi (University of
Verona), M. Redivo Zaglia (University of Padua), Marco Vianello
(University of Padua), Alvise Sommariva (University of Padua), Marco
Caliari (University of Padua) took place.
It was held in the most wonderful surroundings in the Italian Dolomites,
supported by a splendid weather. In this place, in Alba di Canazei to
be precise, the University of Verona keeps a dependance which
is used for its summer schools etc., but also highly suitable for
mathematics meetings (as many mathematicians love the mountains --
remember the success of Oberwolfach or Banff with exceptional
countryside and other special places for mathematics conferences!).
The meeting was dedicated to a much-loved colleague in numerical
mathematics and approximation theory, namely Professor-emeritus Walter
Gautschi of Purdue University. Concretely, the 50th anniversary of his
first (of very many to follow) publication was celebrated at
Canazei. Of course Walter and his wife Erika were there and many old
and new friends were very pleased to see him and to learn from and
celebrate his work and his contributions to mathematics.
Indeed, many from the approximation theory community benefit from his
research which has connections with almost all of the work presented
by others at the conference, be it on special functions or
quadrature or orthogonal polynomials or interpolation to name just a
few. Most of the speakers at the conference mentioned explicitly in
which way Walter's contributions touched upon their own work. The
conference thereby really provided a tour d'horizon of
approximation theory and computational mathematics. Among other things
it was noted what a good example is given by Walter by his careful
approach to theory combined with high attention to accurate and stable
numerical computation.
The invited speakers at this meeting were
- B. Bojanov (University of Sofia, BG)
- L. Bos (University of Calgary, CA)
- M. Bozzini (University of Milan, I)
- C. Brezinski (University of Lille, F)
- M. Buhmann (University of Giessen, D)
- C. de Boor (University of Wisconsin-Madison, USA).
- G. Fasshauer (Illinois Institute of Technology, Chicago, USA)
- A. Iske (University of Hamburg, D)
- J. Levesley (University of Leicester, UK)
- L. Montefusco (University of Bologna, I)
- T. Sauer (University of Giessen, D)
- R. Schaback (University of Goettingen, D)
- I. H. Sloan (University of New South Wales, Sydney, AU)
- H. Wendland (University of Dresden, D)
- Y. Xu (University of Oregon, Eugene, USA),
and each of them delivered a 45 minutes talk on topical subjects of
approximation theory and applications. Some of them were more of a
review character, some of them more of a research character.
In addition, there were, in two parallel sessions, numerous shorter,
contributed talks. Claude Brezinski's invited talk should be
pointed out as a special lecture summarising at the onset of the
meeting Walter Gautschi's contributions to the many areas of
mathematics. This was certainly not an easy talk to prepare, given
that Walter has close to 200 publications, but Claude's summary was
done most expertly.
To mention just a few of the areas of the other invited talks (this list
is by no means comprehensive), recent results on polynomial
interpolation and approximation, orthogonal polynomials, radial basis
functions and polyharmonic functions, applications to numerical
solutions of differential equations both in theory and
methods (using radial basis functions and others), frames,
image processing, kernel methods, approximations on spheres and
optimal point placement on the sphere, error estimates for quadrature
formulae, applications of numerical methods in finance were discussed.
To discuss mathematics and other things less formally, to share
reminiscenses for example, several social events were organised.
Among them
there was a conference dinner where Walter Gautschi related some of
his experiences as an academic, for instance remembrances of his
famous PhD supervisor Ostrowski as Basel (and of Walter's work for
him as
an assistant), and his part in the proof by Louis de Branges of the
Bieberbach conjecture. Gene Golub gave a speech on Walter and asked
several other colleagues to add their own short stories about Walter
to make this evening a really remarkable event to remember. We also had
an invitation by the mayor of the city of Canazei and a wine tasting
where
some of the local products could be tried and tested. No visit to Italy
without enjoying the (local) wine and the excellent local dishes!
In fact, the author of these lines responded, when asked in advance
about any
dietary requirements: Yes, good Italian cuisine is requested
(and Stefano delivered).
Given that this was in the Dolomites, excursions in the mountains were
also planned and much enjoyed by all the participants. They were
organised such that everybody could participate, easier ones for the
less experienced mountain-walkers and on solo per experti
for the professionals. Incidentally, Walter, as a Swiss, also is keen
on hiking in the mountains and so from his point of view too this was
a good place for the conference.
This meeting was organised so that mathematicians could communicate
and exchange ideas about their mathematical research. Walter gave us,
through his work and his being a shining example in how to approach
and solve mathematical problems an ideal reason for having such a
conference. Thank-you, Walter!
We are equally grateful to Stefano and his colleagues for the flawless
organisation of the meeting; for one, this was not easy because it was
held in that fairly remote place which is not so easy to
reach. Nonetheless, no speaker was lost (not even in the excursions in
the mountains!) and indeed there were no cancellations. The latter is
fairly unusual in mathematics meetings and it says much positive
things about what high importance the participants attributed to come
to his meeting.
We are all looking forward to the next meeting in the Dolomites!
+----------------------------------------------------------------------+
8) From: Olga Holtz <ho...@Math.Berkeley.EDU>
Two postdoctorate positions in Algebra and Analysis at TU-Berlin
The Math Institute of Technische Universitaet Berlin invites
applications
for two postdoctorate positions, in Algebra and in Analysis.
The successful applicants should have a PhD in pure or applied
mathematics.
* The position with emphasis in algebra requires a strong background in
commutative algebra, combinatorics, linear and multilinear algebra.
* The position with emphasis in analysis requires a strong background in
real and complex analysis, functional analysis, approximation theory and
numerical analysis. The successful applicants for either position should
have excellent research records, interest in interdisciplinary work, and
ability to communicate with researchers in other fields. Programming
skills (MATLAB, symbolic algebra software, C, C++, Fortran, Java, etc.)
are a plus.
The postdoctorate researchers will be working on the project "Direct and
inverse problems of numerical algebra and analysis" led by
Prof. Olga Holtz and sponsored by the Sofja Kovalevskaja Prize of the
Alexander von Humboldt Foundation and the German Federal Ministry of
Education and Research.
These vacancies are open starting November 1, 2006 until filled. To
apply,
send a CV, a publication list, and 3 reference letters to Olga Holtz
<ho...@math.tu-berlin.de>.
========================================================================
PhD Studentship in Numerical Analysis/Linear Algebra at TU-Berlin
The Math Institute of Technische Universitaet Berlin invites
applications
for a PhD research position in numerical analysis/linear algebra.
The successful applicant should have a B.S. in pure or applied
mathematics
with strong background in functional and numerical analysis, linear and
abstract algebra and combinatorics. Programming skills (MATLAB, C++,
Java),
experience with (La)TeX, good knowledge of English and German are
desirable.
The candidate will be working on the project "Direct and inverse
problems
of numerical algebra and analysis" led by Prof. Olga Holtz and sponsored
by the Sofja Kovalevskaja Prize of the Alexander von Humboldt Foundation
and the German Federal Ministry of Education and Research.
The position will be open November 1, 2006 until filled. To apply,
send a
CV (including a publication list) to Olga Holtz <ho...@math.tu-
berlin.de>.
+----------------------------------------------------------------------+
9) From: Surveys in Approximation Theory <s...@math.technion.ac.il>
Dear Approximation Theorist,
This is to inform you about a project/journal called "Surveys in
Approximation Theory" (SAT). As the name suggests, this is meant to be a
collection of surveys in the area of approximation theory. It is web-
based
and free.
Its main homepage is at:
http://www.math.technion.ac.il/sat/
Have a look. There are now six articles there and more on the way.
SAT is not meant as a first-publication journal, nor a collection of
electronic monographs or textbooks. Instead, the survey articles are
meant
to review a topic while citing, explaining and assessing the most
relevant, important and interesting aspects of the topic. We hope
that, in
this manner, SAT will provide a valuable and unique service to the
approximation theory and mathematical community. Articles may be
broad or
narrow in scope.
The essential requirements are a well specified topic, together with
clear
exposition.
Articles will appear as they are ready. All articles are peer reviewed
(refereed). Peer reviewing is essential in the maintainance of high
standards. No attempt will be made to speed up the refereeing process at
the cost of quality. Articles appearing in SAT are also reviewed by
Mathematical Reviews.
If you wish to submit an article, please confer with any one of us
and let
us have a tentative title and a brief description of planned contents.
If you would like to be notified of new papers accepted to SAT then
subscribe to the electronic mailing list at:
http://www.math.technion.ac.il/sat/list.html
We subscribe to the notion that mathematical research and exposition
should be freely available on-line. That should be the 21st century
meaning of the word "publication". This is one motivation for SAT.
Carl de Boor, Allan Pinkus, Vilmos Totik
+----------------------------------------------------------------------+