Hypergeometric Functions On Domains Of Positivity Jack Polynomials And Applications

Author : Donald St. P. Richards
Publisher : American Mathematical Soc.
ISBN 13 : 0821851594
Total Pages : 259 pages
Book Rating : 4.93/5 ( download)

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Download or read book Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications written by Donald St. P. Richards and published by American Mathematical Soc.. This book was released on 1992 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics--are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.

Author : Vadim B. Kuznetsov
Publisher : American Mathematical Soc.
ISBN 13 : 0821836838
Total Pages : 386 pages
Book Rating : 4.35/5 ( download)

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Download or read book Jack, Hall-Littlewood and Macdonald Polynomials written by Vadim B. Kuznetsov and published by American Mathematical Soc.. This book was released on 2006 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of symmetric functions began with the work of Jacobi, Schur, Weyl, Young and others on the Schur polynomials. In the 1950's and 60's, far-reaching generalizations of Schur polynomials were obtained by Hall and Littlewood (independently) and, in a different direction, by Jack. In the 1980's, Macdonald unified these developments by introducing a family of polynomials associated with arbitrary root systems. The last twenty years have witnessed considerable progress in this area, revealing new and profound connections with representation theory, algebraic geometry, combinatorics, special functions, classical analysis and mathematical physics. All these fields and more are represented in this volume, which contains the proceedings of a conference on ``Jack, Hall-Littlewood and Macdonald polynomials'' held at ICMS, Edinburgh, during September 23-26, 2003. In addition to new results by leading researchers, the book contains a wealth of historical material, including brief biographies of Hall, Littlewood, Jack and Macdonald; the original papers of Littlewood and Jack; notes on Hall's work by Macdonald; and a recently discovered unpublished manuscript by Jack (annotated by Macdonald). The book will be invaluable to students and researchers who wish to learn about this beautiful and exciting subject.

Author : Bhatia Rajendra
Publisher : World Scientific
ISBN 13 : 9814462934
Total Pages : 4144 pages
Book Rating : 4.38/5 ( download)

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Download or read book Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures written by Bhatia Rajendra and published by World Scientific. This book was released on 2011-06-06 with total page 4144 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

Author : Tom H. Koornwinder
Publisher : Cambridge University Press
ISBN 13 : 1108916554
Total Pages : 442 pages
Book Rating : 4.54/5 ( download)

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Download or read book Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions written by Tom H. Koornwinder and published by Cambridge University Press. This book was released on 2020-10-15 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 2 covers multivariable special functions. When the Bateman project appeared, study of these was in an early stage, but revolutionary developments began to be made in the 1980s and have continued ever since. World-renowned experts survey these over the course of 12 chapters, each containing an extensive bibliography. The reader encounters different perspectives on a wide range of topics, from Dunkl theory, to Macdonald theory, to the various deep generalizations of classical hypergeometric functions to the several variables case, including the elliptic level. Particular attention is paid to the close relation of the subject with Lie theory, geometry, mathematical physics and combinatorics.

Author : SPRINGER
Publisher : Springer Science & Business Media
ISBN 13 : 3540403752
Total Pages : 259 pages
Book Rating : 4.53/5 ( download)

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Download or read book Orthogonal Polynomials and Special Functions written by SPRINGER and published by Springer Science & Business Media. This book was released on with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Stephen Rallis
Publisher : Walter de Gruyter
ISBN 13 : 9783110179392
Total Pages : 442 pages
Book Rating : 4.93/5 ( download)

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Download or read book Automorphic Representations, L-functions and Applications written by Stephen Rallis and published by Walter de Gruyter. This book was released on 2005 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27-30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin-Selberg L-functions (Bump, Ginzburg-Jiang-Rallis, Lapid-Rallis) the relative trace formula (Jacquet, Mao-Rallis) automorphic representations (Gan-Gurevich, Ginzburg-Rallis-Soudry) representation theory of p-adic groups (Baruch, Kudla-Rallis, Moeglin, Cogdell-Piatetski-Shapiro-Shahidi) p-adic methods (Harris-Li-Skinner, Vigneras), and arithmetic applications (Chinta-Friedberg-Hoffstein). The survey articles by Bump, on the Rankin-Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.

Author : P.K. Suetin
Publisher : Routledge
ISBN 13 : 1351426389
Total Pages : 368 pages
Book Rating : 4.81/5 ( download)

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Download or read book Orthogonal Polynomials in Two Variables written by P.K. Suetin and published by Routledge. This book was released on 2022-04-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.

Author : David E. Keyes
Publisher : American Mathematical Soc.
ISBN 13 : 0821851713
Total Pages : 546 pages
Book Rating : 4.15/5 ( download)

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Download or read book Domain Decomposition Methods in Scientific and Engineering Computing written by David E. Keyes and published by American Mathematical Soc.. This book was released on 1994 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains proceedings from the Seventh International Conference on Domain Decomposition Methods, held at Pennsylvania State University in October 1993. The term ``domain decomposition'' has for nearly a decade been associated with the partly iterative, partly direct algorithms explored in the proceedings of this conference. Noteworthy trends in the current volume include progress in dealing with so-called ``bad parameters'' in elliptic partial differential equation problems, as well as developments in partial differential equations outside of the elliptically-dominated framework. Also described here are convergence and complexity results for novel discretizations, which bring with them new challenges in the derivation of appropriate operators for coarsened spaces. Implementations and architectural considerations are discussed, as well as partitioning tools and environments. In addition, the book describes a wide array of applications, from semiconductor device simulation to structural mechanics to aerodynamics. Presenting many of the latest results in the field, this book offers readers an up-to-date guide to the many facets of the theory and practice of domain decomposition.

Author : Charles F. Dunkl
Publisher : Cambridge University Press
ISBN 13 : 0521800439
Total Pages : 408 pages
Book Rating : 4.33/5 ( download)

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Download or read book Orthogonal Polynomials of Several Variables written by Charles F. Dunkl and published by Cambridge University Press. This book was released on 2001-02-22 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal polynomials of several variables, approximation theory, symmetry-group methods.

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9814327867
Total Pages : 436 pages
Book Rating : 4.62/5 ( download)

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Download or read book Boundary Value Problems, Integral Equations and Related Problems written by Guo Chun Wen and published by World Scientific. This book was released on 2011 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, and others.