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Saturday, July 25, 2020 | History

4 edition of Harmonic analysis on the Heisenberg group found in the catalog.

Harmonic analysis on the Heisenberg group

by Sundaram Thangavelu

  • 294 Want to read
  • 3 Currently reading

Published by Birkhauser in Boston .
Written in English

    Subjects:
  • Harmonic analysis.,
  • Nilpotent Lie groups.

  • Edition Notes

    Includes bibliographical references and index.

    StatementSundaram Thangavelu.
    SeriesProgress in mathematics ;, v. 159, Progress in mathematics (Boston, Mass.) ;, v. 159.
    Classifications
    LC ClassificationsQA403 .T53 1998
    The Physical Object
    Paginationxii, 191 p. ;
    Number of Pages191
    ID Numbers
    Open LibraryOL699541M
    ISBN 100817640509, 3764340509
    LC Control Number97047315

      A First Course in Harmonic Analysis: Edition 2 - Ebook written by Anton Deitmar. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read A First Course in Harmonic Analysis: Edition /5(1). Harmonic analysis on the quotient spaces of Heisenberg groups Yang, Jae-Hyun, Nagoya Mathematical Journal, ; The spectrum of the sub-Laplacian on the Heisenberg group Dasgupta, Aparajita, Molahajloo, Shahla, and Wong, Man-Wah, Tohoku Mathematical Journal, ; Some results on harmonic analysis on compact quotients of Heisenberg groups Morikawa, Hisasi, Nagoya Cited by:

    Krantz has worked on the inhomogeneous Cauchy–Riemann equations (he obtained the first sharp estimates in a variety of nonisotropic norms), on separate smoothness of functions (most notably with hypotheses about smoothness along integral curves of vector fields), on analysis on the Heisenberg group and other nilpotent Lie groups, on harmonic Alma mater: University of California at Santa . This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the.

    The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics. This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non-commutative Lie groups, and hence gives the . Harmonic analysis on finite Heisenberg groups Article in European Journal of Combinatorics 25(3) April with 19 Reads How we measure 'reads'Author: Jörg Schulte.


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Harmonic analysis on the Heisenberg group by Sundaram Thangavelu Download PDF EPUB FB2

The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the non-abelian setup of the Heisenberg group. Several results in this monograph appear for the first time in book form, and some theorems have not appeared by: Harmonic Analysis on the Heisenberg Group (Progress in Mathematics Book ) - Kindle edition by Thangavelu, Sundaram.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Harmonic Analysis on the Heisenberg Group (Progress in Mathematics Book ).Manufacturer: Springer.

The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the non-abelian setup of the Heisenberg group. Several results in this monograph appear for the first time in book form, and some theorems have not appeared elsewhere.

Get this from a library. Harmonic analysis on the Heisenberg group. [Sundaram Thangavelu] -- The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the non-abelian setup of the Heisenberg group.

Several results in this monograph appear for. The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics.

This monograph deals with various aspects of. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.

Within the textbook, the new ideas on the Heisenberg group are applied to the study of estimates for both the Szegö and Poisson–Szegö integrals on the Brand: Birkhäuser Basel.

1 The Group Fourier Transform.- The Heisenberg group.- The Schroedinger representations.- The Fourier and Weyl transforms.- Hermite and special Hermite functions.- Paley-Wiener theorems for the Fourier transform.- An uncertainty principle on the Heisenberg group.- Notes and references.- 2 Analysis of the Sublaplacian.

Harmonic Analysis On The Heisenberg Group pdf. Harmonic Analysis On The Heisenberg Group pdf: Pages By Sundaram Thangavelu The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics.

This book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to harmonic analysis, complex analysis, integral geometry, and analysis on symmetric spaces.

The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of.

The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics.

This monograph deals with various aspects of Author: Sundaram Thangavelu. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects.

The This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets /5. Book Description: This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on.

This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects.

It is arguable that modern harmonic analysis (at least linear harmonic analysis) is the study of integral operators. Stein has pioneered this point of view, and his introduction of Heisenberg group analysis validated it and illustrated it in a vital context.

Certainly the integral operators of several complex variables are quite different from. This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.4/5(1).

This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.

Fourier analysis. The Heisenberg group also occurs in Fourier analysis, where it is used in some formulations of the Stone–von Neumann theorem. In this case, the Heisenberg group can be understood to act on the space of square integrable functions; the result is a representation of the Heisenberg groups sometimes called the Weyl representation.

This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions.

It also features applications to number theory, graph theory, and representation theory of finite : Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. Harmonic analysis on groups of Heisenberg type Chapter. with the Kohn Laplacian on groups of Heisenberg type.

pairs in classical analysis" Harmonic Analysis and Group Representations. Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals.

Responsibility Elias M. Stein, with the assistance of Timothy S. Murphy. Nielsen Book Data) Summary and connections with analysis on the Heisenberg group.Harmonic analysis in phase space Gerald B. Folland This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts.This introductory text examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians.

Its exposition is based largely on examples and applications of general theory. Topics include commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products.

edition.