Pointwise Convergence Of Fourier Series On Compact Lie Gropus
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Pointwise Convergence Of Fourier Series On Compact Lie Groups
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Author :
language : en
Publisher:
Release Date : 1990
Pointwise Convergence Of Fourier Series On Compact Lie Groups written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Invariant Markov Processes Under Lie Group Actions
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Author : Ming Liao
language : en
Publisher: Springer
Release Date : 2018-06-28
Invariant Markov Processes Under Lie Group Actions written by Ming Liao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-28 with Mathematics categories.
The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on ways to represent such processes in the spirit of the classical Lévy-Khinchin representation. It interweaves probability theory, topology, and global analysis on manifolds to present the most recent results in a developing area of stochastic analysis. The author’s discussion is structured with three different levels of generality:— A Markov process in a Lie group G that is invariant under the left (or right) translations— A Markov process xt in a manifold X that is invariant under the transitive action of a Lie group G on X— A Markov process xt invariant under the non-transitive action of a Lie group GA large portion of the text is devoted to the representation of inhomogeneous Lévy processes in Lie groups and homogeneous spaces by a time dependent triple through a martingale property. Preliminary definitions and results in both stochastics and Lie groups are provided in a series of appendices, making the book accessible to those who may be non-specialists in either of these areas. Invariant Markov Processes Under Lie Group Actions will be of interest to researchers in stochastic analysis and probability theory, and will also appeal to experts in Lie groups, differential geometry, and related topics interested in applications of their own subjects.
A First Course On Representation Theory And Linear Lie Groups
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Author : S C Bagchi
language : en
Publisher: Universities Press
Release Date : 2000
A First Course On Representation Theory And Linear Lie Groups written by S C Bagchi and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Lie groups categories.
This book is intended to serve as a textbook for a one-semester course for M.Sc/M.Phil. Students at Indian universities. Students of theoretical physics will also find this exposition useful. The general theory of Lie groups appears formidable to an M.Sc./M.Phil. student.
Probability On Compact Lie Groups
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Author : David Applebaum
language : en
Publisher: Springer
Release Date : 2014-06-26
Probability On Compact Lie Groups written by David Applebaum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-26 with Mathematics categories.
Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topics presented are: the study of measures via the non-commutative Fourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures and the statistical problem of deconvolution. The emphasis on compact (rather than general) Lie groups helps readers to get acquainted with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance of these groups for applications. The book is primarily aimed at researchers working in probability, stochastic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists, statisticians and engineers who are working on related applications. A background in first year graduate level measure theoretic probability and functional analysis is essential; a background in Lie groups and representation theory is certainly helpful but the first two chapters also offer orientation in these subjects.
Pointwise Convergence Of Noncommutative Fourier Series
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Author : Guixiang Hong
language : en
Publisher: American Mathematical Society
Release Date : 2024-12-13
Pointwise Convergence Of Noncommutative Fourier Series written by Guixiang Hong and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-13 with Mathematics categories.
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Proceedings Of The Analysis Conference Singapore 1986
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Author : S.T.L. Choy
language : en
Publisher: Elsevier
Release Date : 2011-09-22
Proceedings Of The Analysis Conference Singapore 1986 written by S.T.L. Choy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.
The main emphasis of this volume is on harmonic and functional analysis. The papers include some of the latest research developments in this important field of mathematics.
Compact Lie Groups
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Author : Mark R. Sepanski
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-05
Compact Lie Groups written by Mark R. Sepanski 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 2007-04-05 with Mathematics categories.
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Coverage includes the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The book develops the necessary Lie algebra theory with a streamlined approach focusing on linear Lie groups.
Algebraic Methods In Statistics And Probability
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Author : Marlos A. G. Viana
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Algebraic Methods In Statistics And Probability written by Marlos A. G. Viana and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.
An Introduction To Harmonic Analysis On Semisimple Lie Groups
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Author : V. S. Varadarajan
language : en
Publisher: Cambridge University Press
Release Date : 1999-07-22
An Introduction To Harmonic Analysis On Semisimple Lie Groups written by V. S. Varadarajan 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 1999-07-22 with Mathematics categories.
Now in paperback, this graduate-level textbook is an introduction to the representation theory of semi-simple Lie groups. As such, it will be suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic. The author emphasizes the development of the central themes of the sunject in the context of special examples, without losing sight of its general flow and structure. The book concludes with appendices sketching some basic topics with a comprehensive guide to further reading.
Compact Lie Groups And Their Representations
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Author : Dmitriĭ Petrovich Zhelobenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1973-01-01
Compact Lie Groups And Their Representations written by Dmitriĭ Petrovich Zhelobenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Mathematics categories.