Analysis On H Harmonics And Dunkl Transforms
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Analysis On H Harmonics And Dunkl Transforms
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Author : Feng Dai
language : en
Publisher: Birkhäuser
Release Date : 2015-01-21
Analysis On H Harmonics And Dunkl Transforms written by Feng Dai and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-21 with Mathematics categories.
This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors’ focus is on the analysis side of both h-harmonics and Dunkl transforms. Graduate students and researchers working in approximation theory, harmonic analysis, and functional analysis will benefit from this book.
Geometric And Harmonic Analysis On Homogeneous Spaces And Applications
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Author : Ali Baklouti
language : en
Publisher: Springer Nature
Release Date : 2021-10-29
Geometric And Harmonic Analysis On Homogeneous Spaces And Applications written by Ali Baklouti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Mathematics categories.
This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics. All the authors participated in the 6th Tunisian-Japanese conference "Geometric and Harmonic Analysis on homogeneous spaces and Applications" held at Djerba Island in Tunisia during the period of December 16-19, 2019. The aim of this conference and the five preceding Tunisian-Japanese meetings was to keep up with the active development of representation theory interrelated with various other mathematical fields, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations, and mathematical physics. The present volume is dedicated to the memory of Takaaki Nomura, who organized the series of Tunisian-Japanese conferences with great effort and enthusiasm. The book is a valuable resource for researchers and students working in various areas of analysis, geometry, and algebra in connection with representation theory.
Moduli Of Weighted Hyperplane Arrangements
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Author : Valery Alexeev
language : en
Publisher: Birkhäuser
Release Date : 2015-05-18
Moduli Of Weighted Hyperplane Arrangements written by Valery Alexeev and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-18 with Mathematics categories.
This book focuses on a large class of geometric objects in moduli theory and provides explicit computations to investigate their families. Concrete examples are developed that take advantage of the intricate interplay between Algebraic Geometry and Combinatorics. Compactifications of moduli spaces play a crucial role in Number Theory, String Theory, and Quantum Field Theory – to mention just a few. In particular, the notion of compactification of moduli spaces has been crucial for solving various open problems and long-standing conjectures. Further, the book reports on compactification techniques for moduli spaces in a large class where computations are possible, namely that of weighted stable hyperplane arrangements (shas).
Stochastic Integration By Parts And Functional It Calculus
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Author : Vlad Bally
language : en
Publisher: Birkhäuser
Release Date : 2016-03-11
Stochastic Integration By Parts And Functional It Calculus written by Vlad Bally and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-11 with Mathematics categories.
This volume contains lecture notes from the courses given by Vlad Bally and Rama Cont at the Barcelona Summer School on Stochastic Analysis (July 2012). The notes of the course by Vlad Bally, co-authored with Lucia Caramellino, develop integration by parts formulas in an abstract setting, extending Malliavin's work on abstract Wiener spaces. The results are applied to prove absolute continuity and regularity results of the density for a broad class of random processes. Rama Cont's notes provide an introduction to the Functional Itô Calculus, a non-anticipative functional calculus that extends the classical Itô calculus to path-dependent functionals of stochastic processes. This calculus leads to a new class of path-dependent partial differential equations, termed Functional Kolmogorov Equations, which arise in the study of martingales and forward-backward stochastic differential equations. This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance.
Hypercomplex Analysis And Applications
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Author : Irene Sabadini
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-20
Hypercomplex Analysis And Applications written by Irene Sabadini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-20 with Mathematics categories.
The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis. The list of contributors includes first rate mathematicians and young researchers working on several different aspects in quaternionic and Clifford analysis. Besides original research papers, there are papers providing the state-of-the-art of a specific topic, sometimes containing interdisciplinary fields. The intended audience includes researchers, PhD students, postgraduate students who are interested in the field and in possible connection between hypercomplex analysis and other disciplines, including mathematical analysis, mathematical physics, algebra.
Orthogonal Polynomials Of Several Variables
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Author : Charles F. Dunkl
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-21
Orthogonal Polynomials Of Several Variables written by Charles F. Dunkl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-21 with Mathematics categories.
Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.
Harmonic Analysis On Hypergroups Approximation And Stochastic Sequences
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Author : Rupert Lasser
language : en
Publisher: World Scientific
Release Date : 2022-12-06
Harmonic Analysis On Hypergroups Approximation And Stochastic Sequences written by Rupert Lasser and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-06 with Mathematics categories.
The book aims at giving a monographic presentation of the abstract harmonic analysis of hypergroups, while combining it with applied topics of spectral analysis, approximation by orthogonal expansions and stochastic sequences. Hypergroups are locally compact Hausdorff spaces equipped with a convolution, an involution and a unit element. Related algebraic structures had already been studied by Frobenius around 1900. Their axiomatic characterisation in harmonic analysis was later developed in the 1970s. Hypergoups naturally emerge in seemingly different application areas as time series analysis, probability theory and theoretical physics.The book presents harmonic analysis on commutative and polynomial hypergroups as well as weakly stationary random fields and sequences thereon. For polynomial hypergroups also difference equations and stationary sequences are considered. At greater extent than in the existing literature, the book compiles a rather comprehensive list of hypergroups, in particular of polynomial hypergroups. With an eye on readers at advanced undergraduate and graduate level, the proofs are generally worked out in careful detail. The bibliography is extensive.
Ellipsoidal Harmonics
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Author : George Dassios
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-12
Ellipsoidal Harmonics written by George Dassios and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Mathematics categories.
The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Mathematical Sciences Research Journal
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Author :
language : en
Publisher:
Release Date : 2003
Mathematical Sciences Research Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.