Download or read book Hardy Spaces on Non compact Rank One Symmetric Spaces written by Hesheng Zhao and published by . This book was released on 1991 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hardy type Spaces of Harmonic Functions on Symmetric Spaces of Noncompact Type written by Manfred Stoll and published by . This book was released on with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hardy Spaces on Homogeneous Groups written by Gerald B. Folland and published by Princeton University Press. This book was released on 1982-06-21 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal functions, and real-variable methods generally. Because of its fruitful development, a systematic exposition of some of the main parts of the theory is now desirable. In addition to this exposition, these notes contain a recasting of the theory in the more general setting where the underlying Rn is replaced by a homogeneous group. The justification for this wider scope comes from two sources: 1) the theory of semi-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as "boundaries," and 2) certain classes of non-elliptic differential equations (in particular those connected with several complex variables), where the model cases occur on homogeneous groups. The example which has been most widely studied in recent years is that of the Heisenberg group.
Download or read book Analysis on Non Riemannian Symmetric Spaces written by Mogens Flensted-Jensen and published by American Mathematical Soc.. This book was released on 1986 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic analysis on Riemannian semi simple symmetric spaces and on special types of non-Riemannian semi simple symmetric spaces are well-established theories. This book presents a systematic treatment of the basic problems on semi simple symmetric spaces and a discussion of some of the more important recent developments in the field.
Download or read book Landscapes of Time Frequency Analysis written by Paolo Boggiatto and published by Springer. This book was released on 2019-01-30 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of the topics covered include: Abstract harmonic analysis, Numerical harmonic analysis, Sampling theory, Compressed sensing, Mathematical signal processing, Pseudodifferential operators, and Applications of harmonic analysis to quantum mechanics. Landscapes of Time-Frequency Analysis will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis.
Download or read book Unitary Representations and Harmonic Analysis written by M. Sugiura and published by Elsevier. This book was released on 1990-03-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length.
Download or read book Hardy Spaces and Potential Theory on C 1 Domains in Riemannian Manifolds written by Martin Dindoš and published by American Mathematical Soc.. This book was released on 2008 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies Hardy spaces on C1 and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are invaluable tool in harmonic analysis. For this reason these spaces have been studied extensively by many authors.
Download or read book Geometric Analysis on Symmetric Spaces written by Phillip Griffiths and published by American Mathematical Soc.. This book was released on 1989 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, inversion formulas, and range theorems, Helgason examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations. The canonical multitemporal wave equation on a symmetric space is included. The book concludes with a chapter on eigenspace representations - that is, representations on solution spaces of invariant differential equations."--BOOK JACKET.
Download or read book The Selected Works of Sigurdur Helgason written by Sigurdur Helgason and published by American Mathematical Soc.. This book was released on 2009 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects the articles that cover invariant differential operators, geometric properties of solutions to differential equations on symmetric spaces, double fibrations in integral geometry, spherical functions and spherical transforms, duality for symmetric spaces, representation theory, and the Fourier transform on G/K.
Download or read book An Introduction to the Uncertainty Principle written by Sundaram Thangavelu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1932 Norbert Wiener gave a series of lectures on Fourier analysis at the Univer sity of Cambridge. One result of Wiener's visit to Cambridge was his well-known text The Fourier Integral and Certain of its Applications; another was a paper by G. H. Hardy in the 1933 Journalofthe London Mathematical Society. As Hardy says in the introduction to this paper, This note originates from a remark of Prof. N. Wiener, to the effect that "a f and g [= j] cannot both be very small". ... The theo pair of transforms rems which follow give the most precise interpretation possible ofWiener's remark. Hardy's own statement of his results, lightly paraphrased, is as follows, in which f is an integrable function on the real line and f is its Fourier transform: x 2 m If f and j are both 0 (Ix1e- /2) for large x and some m, then each is a finite linear combination ofHermite functions. In particular, if f and j are x2 x 2 2 2 both O(e- / ), then f = j = Ae- / , where A is a constant; and if one x 2 2 is0(e- / ), then both are null.
Download or read book 150 Years of Mathematics at Washington University in St Louis written by Gary R. Jensen and published by American Mathematical Soc.. This book was released on 2006 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this book are based on talks given at the conference commemorating the 150th anniversary of the Washington University in St. Louis. The articles cover a wide range of important topics in mathematics, and are written by former and present faculty or graduates of the Washington University Department of Mathematics. The volume is prefaced by a brief history of the Washington University Department of Mathematics, a roster of those who received the PhD degree from the department, and a list of the Washington University Department of Mathematics faculty.
Download or read book Harmonic Analysis written by G. Mauceri and published by Springer. This book was released on 2006-11-15 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hardy Spaces Associated to Non Negative Self Adjoint Operators Satisfying Davies Gaffney Estimates written by Steve Hofmann and published by American Mathematical Soc.. This book was released on 2011 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $X$ be a metric space with doubling measure, and $L$ be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on $L^2(X)$. In this article the authors present a theory of Hardy and BMO spaces associated to $L$, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. Further specializing to the case that $L$ is a Schrodinger operator on $\mathbb{R}^n$ with a non-negative, locally integrable potential, the authors establish additional characterizations of such Hardy spaces in terms of maximal functions. Finally, they define Hardy spaces $H^p_L(X)$ for $p>1$, which may or may not coincide with the space $L^p(X)$, and show that they interpolate with $H^1_L(X)$ spaces by the complex method.
Download or read book Trends In Probability And Related Analysis Proceedings Of Sap 98 written by N Kono and published by World Scientific. This book was released on 1999-10-19 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume reflects the current interest in and future direction of probability theory and related theory of analysis and statistics. It contains 2 survey papers and 21 contributed papers.
Download or read book Harmonic and Subharmonic Function Theory on the Hyperbolic Ball written by Manfred Stoll and published by Cambridge University Press. This book was released on 2016-06-30 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
Download or read book Hernach volgt des Bludthundts der sich nennet eyn t rckischen Keyser Gethaten written by and published by . This book was released on 1526 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Causal Symmetric Spaces written by Gestur Olafsson and published by Academic Press. This book was released on 1996-09-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces. Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spaces Deals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fields Presents basic geometric properties of semi-simple symmetric spaces Includes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces
