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From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory
  • Language: en
  • Pages: 388

From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians. Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. Evans, J. Fillman, D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones, K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A. Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.

Recent Trends in Orthogonal Polynomials and Approximation Theory
  • Language: en
  • Pages: 314

Recent Trends in Orthogonal Polynomials and Approximation Theory

This volume contains invited lectures and selected contributions from the International Workshop on Orthogonal Polynomials and Approximation Theory, held at Universidad Carlos III de Madrid on September 8-12, 2008, and which honored Guillermo Lopez Lagomasino on his 60th birthday. This book presents the state of the art in the theory of Orthogonal Polynomials and Rational Approximation with a special emphasis on their applications in random matrices, integrable systems, and numerical quadrature. New results and methods are presented in the papers as well as a careful choice of open problems, which can foster interest in research in these mathematical areas. This volume also includes a brief account of the scientific contributions by Guillermo Lopez Lagomasino.

Complex Methods in Approximation Theory
  • Language: en
  • Pages: 194

Complex Methods in Approximation Theory

This book provides an up-to-date account of research in Approximation Theory and Complex Analysis, areas which are the subject of recent exciting developments.The level of presentation should be suitable for anyone with a good knowledge of analysis, including scientists with a mathematical background. The volume contains both research papers and surveys, presented by specialists in the field. The areas discussed are: Orthogonal Polynomials (with respect to classical and Sobolev inner products), Approximation in Several Complex Variables, Korovkin-type Theorems, Potential Theory, Ratinal Approximation and Linear Ordinary Differential Equations.

Modern Trends in Constructive Function Theory
  • Language: en
  • Pages: 312

Modern Trends in Constructive Function Theory

Contains the proceedings of the conference Constructive Functions 2014, held in May 2014. The papers in this volume include results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, and random polynomials.

Orthogonal Polynomials and Special Functions
  • Language: en
  • Pages: 432

Orthogonal Polynomials and Special Functions

  • Type: Book
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  • Published: 2006-10-18
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  • Publisher: Springer

Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? The present set of lecture notes contains seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions.

Nonlinear Elliptic Partial Differential Equations
  • Language: en
  • Pages: 278

Nonlinear Elliptic Partial Differential Equations

This volume contains papers on semi-linear and quasi-linear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of Jean-Pierre Gossez's 65th birthday, held September 2-4, 2009 at the Universite Libre de Bruxelles, Belgium. The workshop reflected Gossez's contributions in nonlinear elliptic PDEs and provided an opening to new directions in this very active research area. Presentations covered recent progress in Gossez's favorite topics, namely various problems related to the $p$-Laplacian operator, the antimaximum principle, the Fucik Spectrum, and other related subjects. This volume will be of principle interest to researchers in nonlinear analysis, especially in partial differential equations of elliptic type.

Advances in Non-Archimedean Analysis
  • Language: en
  • Pages: 294

Advances in Non-Archimedean Analysis

These collected articles feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach functions spaces, and measure and integration.

Guerrilla Science
  • Language: en
  • Pages: 153

Guerrilla Science

  • Type: Book
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  • Published: 2017-03-16
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  • Publisher: Springer

Full of drama, dedication, and humor, this book narrates the author’s often frustrating experiences working as an experimental physicist in Cuba after the disintegration of the so-called socialist block. Lacking finance and infrastructure, faced with makeshift equipment, unpredictable supplies, and unreliable IT, Altshuler tells how he and his students overcame numerous challenges to make novel and interesting contributions to several fields of science. Along the way, he explains the science - from studies of ant colonies to superconductivity - either qualitatively or quantitatively, but always at a level fully understandable to an undergraduate student of natural sciences or engineering. An even wider audience, however, may skip the technical sections without missing the essence. With numerous anecdotes, photographs and the author’s own delightful cartoons, the book tells a remarkable, and often amusing story of how successful science can be performed against all odds.

Set Theory and Its Applications
  • Language: en
  • Pages: 346

Set Theory and Its Applications

This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.