Harmonic Analysis of Probability Measures on Hypergroups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis of Probability Measures on Hypergroups write by Walter R. Bloom. This book was released on 2011-04-20. Harmonic Analysis of Probability Measures on Hypergroups available in PDF, EPUB and Kindle. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences
Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences write by Rupert Lasser. This book was released on 2022-12-06. Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences available in PDF, EPUB and Kindle. 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.
Applications of Hypergroups and Related Measure Algebras
Applications of Hypergroups and Related Measure Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applications of Hypergroups and Related Measure Algebras write by . This book was released on 1995-02-28. Applications of Hypergroups and Related Measure Algebras available in PDF, EPUB and Kindle. `The most important single thing about this conference was that it brought together for the first time representatives of all major groups of users of hypergroups. [They] talked to each other about how they were using hypergroups in fields as diverse as special functions, probability theory, representation theory, measure algebras, Hopf algebras, and Hecke algebras. This led to fireworks.' - from the Introduction. Hypergroups occur in a wide variety of contexts, and mathematicians the world over have been discovering this same mathematical structure hidden in very different applications. The diverse viewpoints on the subject have led to the need for a common perspective, if not a common theory. Presenting the proceedings of a Joint Summer Research Conference held in Seattle in the summer of 1993, this book will serve as a valuable starting point and reference tool for the wide range of users of hypergroups and make it easier for an even larger audience to use these structures in their work.
Harmonic Analysis and Hypergroups
Harmonic Analysis and Hypergroups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis and Hypergroups write by Ken Ross. This book was released on 2013-11-11. Harmonic Analysis and Hypergroups available in PDF, EPUB and Kindle. An underlying theme in this text is the notion of hypergroups, the theory of which has been developed and used in fields as diverse as special functions, differential equations, probability theory, representation theory, measure theory, Hopf algebras, and quantum groups. Other topics include the harmonic analysis of analytic functions, ergodic theory and wavelets.
Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV
Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV write by Joachim Hilgert. This book was released on 2009. Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV available in PDF, EPUB and Kindle. The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.
