Inzell Lectures on Orthogonal Polynomials PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Inzell Lectures on Orthogonal Polynomials PDF full book. Access full book title Inzell Lectures on Orthogonal Polynomials by Wolfgang zu Castell. Download full books in PDF and EPUB format.
Author: Wolfgang zu Castell Publisher: Nova Publishers ISBN: 9781594541087 Category : Mathematics Languages : en Pages : 416
Book Description
Based on the success of Fourier analysis and Hilbert space theory, orthogonal expansions undoubtedly count as fundamental concepts of mathematical analysis. Along with the need for highly involved functions systems having special properties and analysis on more complicated domains, harmonic analysis has steadily increased its importance in modern mathematical analysis. Deep connections between harmonic analysis and the theory of special functions have been discovered comparatively late, but since then have been exploited in many directions. The Inzell Lectures focus on the interrelation between orthogonal polynomials and harmonic analysis.
Author: Wolfgang zu Castell Publisher: Nova Publishers ISBN: 9781594541087 Category : Mathematics Languages : en Pages : 416
Book Description
Based on the success of Fourier analysis and Hilbert space theory, orthogonal expansions undoubtedly count as fundamental concepts of mathematical analysis. Along with the need for highly involved functions systems having special properties and analysis on more complicated domains, harmonic analysis has steadily increased its importance in modern mathematical analysis. Deep connections between harmonic analysis and the theory of special functions have been discovered comparatively late, but since then have been exploited in many directions. The Inzell Lectures focus on the interrelation between orthogonal polynomials and harmonic analysis.
Author: Amilcar Jose Pinto Lopes Branquinho Publisher: Nova Publishers ISBN: 9781600219726 Category : Mathematics Languages : en Pages : 250
Book Description
Orthogonal Polynomials and Special Functions (OPSF) have a very rich history, going back to 19th century when mathematicians and physicists tried to solve the most important deferential equations of mathematical physics. Hermite-Padé approximation was also introduced at that time, to prove the transcendence of the remarkable constant e (the basis of the natural logarithm). Since then OPSF has developed to a standard subject within mathematics, which is driven by applications. The applications are numerous, both within mathematics (e.g. statistics, combinatory, harmonic analysis, number theory) and other sciences, such as physics, biology, computer science, chemistry. The main reason for the fact that OPSF has been so successful over the centuries is its usefulness in other branches of mathematics and physics, as well as other sciences. There are many different aspects of OPSF. Some of the most important developments for OPSF are related to the theory of rational approximation of analytic functions, in particular the extension to simultaneous rational approximation to a system of functions. Important tools for rational approximation are Riemann-Hilbert problems, the theory of orthogonal polynomials, logarithmic potential theory, and operator theory for difference operators. This new book presents the latest research in the field.
Author: Howard S. Cohl Publisher: Cambridge University Press ISBN: 1108821596 Category : Mathematics Languages : en Pages : 351
Book Description
Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.
Author: Francisco Marcellàn Publisher: Springer ISBN: 3540367160 Category : Mathematics Languages : en Pages : 422
Book Description
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.
Author: Renato Alvarez-Nodarse Publisher: Nova Publishers ISBN: 9781594540097 Category : Mathematics Languages : en Pages : 222
Book Description
This new book presents research in orthogonal polynomials and special functions. Recent developments in the theory and accomplishments of the last decade are pointed out and directions for research in the future are identified. The topics covered include matrix orthogonal polynomials, spectral theory and special functions, Asymptotics for orthogonal polynomials via Riemann-Hilbert methods, Polynomial wavelets and Koornwinder polynomials.
Author: Richard Askey Publisher: SIAM ISBN: 9781611970470 Category : Mathematics Languages : en Pages : 117
Book Description
Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large classes of univalent functions, by applications to quadrature problems, and theorems on the location of zeros of trigonometric polynomials. There are also applications to combinatorial problems, statistics, and physical problems.
Author: Ian Grant Macdonald Publisher: American Mathematical Soc. ISBN: 0821807706 Category : Orthogonal polynomials Languages : en Pages : 71
Book Description
One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials, has long been known to be connected to combinatorics, representation theory and other branches of mathematics. Written by perhaps the most famous author on the topic, this volume explains some of the current developments regarding these connections. It is based on lectures presented by the author at Rutgers University. Specifically, he gives recent results on orthogonal polynomials associated with affine Hecke algebras, surveying the proofs of certain famous combinatorial conjectures.
Author: Tom H. Koornwinder Publisher: Cambridge University Press ISBN: 1108916554 Category : Mathematics Languages : en Pages : 442
Book Description
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: L szl¢ Szkelyhidi Publisher: World Scientific ISBN: 9814407011 Category : Mathematics Languages : en Pages : 210
Book Description
The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate OC marriageOCO where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups.This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods OCo and, sometimes, a new world of unexpected difficulties.
Author: Wolfgang zu Castell
Author: Wolfgang zu Castell
Author: Amilcar Jose Pinto Lopes Branquinho
Author: Howard S. Cohl
Author: Francisco Marcellàn
Author: Renato Alvarez-Nodarse
Author: Richard Askey
Author: Ian Grant Macdonald
Author: Tom H. Koornwinder
Author: L szl¢ Szkelyhidi
Author: Gábor Szegő