Harmonic Analysis Of Mean Periodic Functions On Symmetric Spaces And The Heisenberg Group
DOWNLOAD
Download Harmonic Analysis Of Mean Periodic Functions On Symmetric Spaces And The Heisenberg Group PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Harmonic Analysis Of Mean Periodic Functions On Symmetric Spaces And The Heisenberg Group book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Harmonic Analysis Of Mean Periodic Functions On Symmetric Spaces And The Heisenberg Group
DOWNLOAD
Author : Valery V. Volchkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-13
Harmonic Analysis Of Mean Periodic Functions On Symmetric Spaces And The Heisenberg Group written by Valery V. Volchkov 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 2009-06-13 with Mathematics categories.
The theory of mean periodic functions is a subject which goes back to works of Littlewood, Delsarte, John and that has undergone a vigorous development in recent years. There has been much progress in a number of problems concerning local - pects of spectral analysis and spectral synthesis on homogeneous spaces. The study oftheseproblemsturnsouttobecloselyrelatedtoavarietyofquestionsinharmonic analysis, complex analysis, partial differential equations, integral geometry, appr- imation theory, and other branches of contemporary mathematics. The present book describes recent advances in this direction of research. Symmetric spaces and the Heisenberg group are an active ?eld of investigation at 2 the moment. The simplest examples of symmetric spaces, the classical 2-sphere S 2 and the hyperbolic plane H , play familiar roles in many areas in mathematics. The n Heisenberg groupH is a principal model for nilpotent groups, and results obtained n forH may suggest results that hold more generally for this important class of Lie groups. The purpose of this book is to develop harmonic analysis of mean periodic functions on the above spaces.
Offbeat Integral Geometry On Symmetric Spaces
DOWNLOAD
Author : Valery V. Volchkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-30
Offbeat Integral Geometry On Symmetric Spaces written by Valery V. Volchkov 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 2013-01-30 with Mathematics categories.
The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group. The book includes many significant recent results, some of them hitherto unpublished, among which can be pointed out uniqueness theorems for various classes of functions, far-reaching generalizations of the two-radii problem, the modern versions of the Pompeiu problem, and explicit reconstruction formulae in problems of integral geometry. These results are intriguing and useful in various fields of contemporary mathematics. The proofs given are “minimal” in the sense that they involve only those concepts and facts which are indispensable for the essence of the subject. Each chapter provides a historical perspective on the results presented and includes many interesting open problems. Readers will find this book relevant to harmonic analysis on homogeneous spaces, invariant spaces theory, integral transforms on symmetric spaces and the Heisenberg group, integral equations, special functions, and transmutation operators theory.
Invariant Random Fields On Spaces With A Group Action
DOWNLOAD
Author : Anatoliy Malyarenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-26
Invariant Random Fields On Spaces With A Group Action written by Anatoliy Malyarenko 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 2012-10-26 with Mathematics categories.
The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.
Invariant Markov Processes Under Lie Group Actions
DOWNLOAD
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.
Non Doubling Ahlfors Measures Perimeter Measures And The Characterization Of The Trace Spaces Of Sobolev Functions In Carnot Caratheodory Spaces
DOWNLOAD
Author : Donatella Danielli
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Non Doubling Ahlfors Measures Perimeter Measures And The Characterization Of The Trace Spaces Of Sobolev Functions In Carnot Caratheodory Spaces written by Donatella Danielli 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 2006 with Mathematics categories.
The object of the present study is to characterize the traces of the Sobolev functions in a sub-Riemannian, or Carnot-Caratheodory space. Such traces are defined in terms of suitable Besov spaces with respect to a measure which is concentrated on a lower dimensional manifold, and which satisfies an Ahlfors type condition with respect to the standard Lebesgue measure. We also study the extension problem for the relevant Besov spaces. Various concrete applications to the setting of Carnot groups are analyzed in detail and an application to the solvability of the subelliptic Neumann problem is presented.
Explorations In The Mathematics Of Data Science
DOWNLOAD
Author : Simon Foucart
language : en
Publisher: Springer Nature
Release Date : 2024-09-12
Explorations In The Mathematics Of Data Science written by Simon Foucart and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-12 with Mathematics categories.
This edited volume reports on the recent activities of the new Center for Approximation and Mathematical Data Analytics (CAMDA) at Texas A&M University. Chapters are based on talks from CAMDA’s inaugural conference – held in May 2023 – and its seminar series, as well as work performed by members of the Center. They showcase the interdisciplinary nature of data science, emphasizing its mathematical and theoretical foundations, especially those rooted in approximation theory.
The British National Bibliography
DOWNLOAD
Author : Arthur James Wells
language : en
Publisher:
Release Date : 2009
The British National Bibliography written by Arthur James Wells and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Bibliography, National categories.
Mathematical Reviews
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2008
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 2008 with Mathematics categories.
Contents Of Contemporary Mathematical Journals
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1974
Contents Of Contemporary Mathematical Journals written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Zvit Pro Dii Al Nist Nat Sional No Akademi Nauk Ukra Ny U Rot Si
DOWNLOAD
Author : Nat͡sionalʹna akademii͡a nauk Ukraïny
language : uk
Publisher:
Release Date : 2009
Zvit Pro Dii Al Nist Nat Sional No Akademi Nauk Ukra Ny U Rot Si written by Nat͡sionalʹna akademii͡a nauk Ukraïny and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Humanities categories.