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Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis)


Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis)
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Description of Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis)

This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology. The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.

Features of Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis)

  • Language: English
  • Binding: Paperback
  • Publisher: Dover Publications
  • Genre: Mathematics
  • ISBN: 9780486481234, 0486481239

Specifications of Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis)

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Author :
Loomis


Dimensions
Width :
0.5 in
Height :
8.4
Length :
5.3 in
Weight :
0.45 Pounds (US)



An Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis Lynn H)
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Features of An Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis Lynn H)

  • Language: English
  • Binding: Paperback
  • Publisher: Andesite Press
  • Genre: History
  • ISBN: 9781376160178, 137616017X

Specifications of An Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis Lynn H)

Book Details
Imprint :
Andesite Press


Dimensions
Width :
11 mm
Height :
234 mm
Length :
156 mm
Weight :
290 gr



An Introduction To Abstract Harmonic Analysis(English, Paperback, Lynn H. Loomis)
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Features of An Introduction To Abstract Harmonic Analysis(English, Paperback, Lynn H. Loomis)

  • Language: English
  • Binding: Paperback
  • Publisher: Franklin Classics
  • ISBN: 9780343201913, 0343201917
  • Edition: 2018

Specifications of An Introduction To Abstract Harmonic Analysis(English, Paperback, Lynn H. Loomis)

Book Details
Imprint :
Franklin Classics
Publication Year :
2018



An Introduction to Abstract Harmonic Analysis(English, Paperback, Lynn H Loomis D C Spencer)
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Description of An Introduction to Abstract Harmonic Analysis(English, Paperback, Lynn H Loomis D C Spencer)

Additional Editors Are John Von Neumann, Hassler Whitney, And Oscar Zariski.

Features of An Introduction to Abstract Harmonic Analysis(English, Paperback, Lynn H Loomis D C Spencer)

  • Language: English
  • Binding: Paperback
  • Publisher: Literary Licensing, LLC
  • ISBN: 9781258636517, 1258636514
  • Edition: 2013
  • Pages: 200

Specifications of An Introduction to Abstract Harmonic Analysis(English, Paperback, Lynn H Loomis D C Spencer)

Book Details
Publication Year :
2013


Contributors
Author :
Lynn H Loomis D C Spencer


Dimensions
Width :
0.42 Inches (US)
Height :
9 Inches (US)
Weight :
0.6 Pounds (US)



An Introduction To Abstract Harmonic Analysis(English, Hardcover, Lynn H. Loomis)
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Features of An Introduction To Abstract Harmonic Analysis(English, Hardcover, Lynn H. Loomis)

  • Language: English
  • Binding: Hardcover
  • Publisher: Franklin Classics
  • ISBN: 9780343201920, 0343201925
  • Edition: 2018

Specifications of An Introduction To Abstract Harmonic Analysis(English, Hardcover, Lynn H. Loomis)

Book Details
Imprint :
Franklin Classics
Publication Year :
2018



Introduction to Abstract Analysis(English, Paperback, Goldstein Marvin)
Introduction to Abstract Analysis(English, Paperback, Goldstein Marvin) Flipkart
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Features of Introduction to Abstract Analysis(English, Paperback, Goldstein Marvin)

  • Language: English
  • Binding: Paperback
  • Publisher: Dover Publications Inc.
  • Genre: Mathematics
  • ISBN: 9780486789460, 0486789462
  • Pages: 248

Specifications of Introduction to Abstract Analysis(English, Paperback, Goldstein Marvin)

Book Details
Imprint :
Dover Publications Inc.


Dimensions
Height :
235 mm
Length :
159 mm



Abstract Harmonic Analysis(English, Paperback, Hewitt Edwin)
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Description of Abstract Harmonic Analysis(English, Paperback, Hewitt Edwin)

This book is a continuation of Volume I of the same title [Grund- lehren der mathematischen Wissenschaften, Band 115 ]. We constantly 1 1. The textbook Real and cite definitions and results from Volume abstract analysis by E. HEWITT and K. R. STROMBERG [Berlin * Gottin- gen *Heidelberg: Springer-Verlag 1965], which appeared between the publication of the two volumes of this work, contains many standard facts from analysis. We use this book as a convenient reference for such facts, and denote it in the text by RAAA. Most readers will have only occasional need actually to read in RAAA. Our goal in this volume is to present the most important parts of harmonic analysis on compact groups and on locally compact Abelian groups. We deal with general locally compact groups only where they are the natural setting for what we are considering, or where one or another group provides a useful counterexample. Readers who are interested only in compact groups may read as follows: 27, Appendix D, 28-30 [omitting subheads (30.6)-(30.60)ifdesired], (31.22)-(31.25), 32, 34-38, 44. Readers who are interested only in locally compact Abelian groups may read as follows: 31-33, 39-42, selected Mis- cellaneous Theorems and Examples in 34-38. For all readers, 43 is interesting but optional. Obviously we have not been able to cover all of harmonic analysis.

Features of Abstract Harmonic Analysis(English, Paperback, Hewitt Edwin)

  • Language: English
  • Binding: Paperback
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Genre: Mathematics
  • ISBN: 9783662245958, 3662245957
  • Pages: 774

Specifications of Abstract Harmonic Analysis(English, Paperback, Hewitt Edwin)

Book Details
Imprint :
Springer-Verlag Berlin and Heidelberg GmbH & Co. K


Dimensions
Height :
235 mm
Length :
155 mm
Weight :
1187 gr



Abstract Harmonic Analysis(English, Paperback, Hewitt Edwin)
Abstract Harmonic Analysis(English, Paperback, Hewitt Edwin) Flipkart
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Features of Abstract Harmonic Analysis(English, Paperback, Hewitt Edwin)

  • Language: English
  • Binding: Paperback
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Genre: Education
  • ISBN: 9783662393581, 3662393581
  • Pages: 519

Specifications of Abstract Harmonic Analysis(English, Paperback, Hewitt Edwin)

Book Details
Imprint :
Springer-Verlag Berlin and Heidelberg GmbH & Co. K


Dimensions
Height :
229 mm
Length :
152 mm
Weight :
765 gr



Harmonic Analysis on Classical Groups(English, Paperback, Gong Sheng)
Harmonic Analysis on Classical Groups(English, Paperback, Gong Sheng) Flipkart
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Description of Harmonic Analysis on Classical Groups(English, Paperback, Gong Sheng)

H.Weyl studied harmonic analysis on compact groups of finite di- mension. He proved that an orthonormal system exists and that any continuous function on these groups can be approximated by some tinite linear combination of functions in this system. His research, however, seems to be too abstract to yield an explicit expression for the orthonormal system. Thus, we cannot talk about the form of the approximation, nor about its convergence. iO The simplest example of compact groups is {e }, on which there exists an orthonormal system inO { e }, n = 0, +/- 1, +/- 2 , ... , namely 1 J2" ." ." {I, for n = m; - e,n"e-1m"dO = 2n 0 0, for n =;6 m. The harmonic analysis on this compact group refers to the whole Fourier analysis. So far, extensive literature has been available on this topic. Its remarkable progress is evidenced by the great monograph of seven-hundred pages in two volumes written by A. Zygmund in 1959. iO An immediate extension for {e } is group U", which consists of all n X n square matrices U satisfying ufj' = I, where fj' denotes the conjugate transpose matrix of U. As for construction, there is a close relation between the group U and the group S03. Besides, 2 the application of U" has been found more and more important in physics.

Features of Harmonic Analysis on Classical Groups(English, Paperback, Gong Sheng)

  • Language: English
  • Binding: Paperback
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Genre: Mathematics
  • ISBN: 9783642634987, 3642634982
  • Pages: 265

Specifications of Harmonic Analysis on Classical Groups(English, Paperback, Gong Sheng)

Book Details
Imprint :
Springer-Verlag Berlin and Heidelberg GmbH & Co. K


Dimensions
Height :
242 mm
Length :
170 mm
Weight :
487 gr



London Mathematical Society Lecture Note Series: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Series Number 410(English, Paperback, Ceccherini-Silberstein Tullio)
London Mathematical Society Lecture Note Series: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Series Number 410(English, Paperback, Ceccherini-Silberstein Tullio) Flipkart
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Description of London Mathematical Society Lecture Note Series: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Series Number 410(English, Paperback, Ceccherini-Silberstein Tullio)

This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers.

Features of London Mathematical Society Lecture Note Series: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Series Number 410(English, Paperback, Ceccherini-Silberstein Tullio)

  • Language: English
  • Binding: Paperback
  • Publisher: Cambridge University Press
  • Genre: Mathematics
  • ISBN: 9781107627857, 1107627850
  • Pages: 176

Specifications of London Mathematical Society Lecture Note Series: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Series Number 410(English, Paperback, Ceccherini-Silberstein Tullio)

Book Details
Imprint :
Cambridge University Press


Series & Set Details
Series Name :
London Mathematical Society Lecture Note Series


Dimensions
Width :
10 mm
Height :
229 mm
Length :
152 mm
Weight :
240 gr



Description of Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis)

This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology. The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.

Features of Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis)

  • Language: English
  • Binding: Paperback
  • Publisher: Dover Publications
  • Genre: Mathematics
  • ISBN: 9780486481234, 0486481239

Technical Specifications of Introduction to Abstract Harmonic Analysis(English, Paperback, Loomis)

Contributors
Author :
Loomis


Dimensions
Width :
0.5 in
Height :
8.4
Length :
5.3 in
Weight :
0.45 Pounds (US)


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