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1. An introduction to abstract harmonic
$89.95
2. Course in Abstract Harmonic Analysis
$94.49
3. Abstract Harmonic Analysis: Volume
 
4. Elements of Abstract Harmonic
 
5. ELEMENTS OF ABSTRACT HARMONIC
$49.12
6. Abstract Harmonic Analysis of
7. Measure and integration theory
 
8. Abstract Harmonic Analysis: Volume
 
9. Abstract Harmonic Analysis 2vol
 
10. Abstract Harmonic Analysis V.1:
 
11. Abstract Harmonic Analysis: Volume
 
12. Abstract Harmonic Analysis
 
13. Abstract Harmonic Analysis Volume
 
14. Abstract Harmonic Analysis, Volume
 
15. Abstract Harmonic Analysis: Structure
 
16. Elements of Abstract Harmonic
 
17. Measure and Integration Theory
 
18. Abstract harmonic Analysis Volume
 
19. Abstract Harmonic Analysis, Volume
 
20. Abstract Harmonic Analysis Volume

1. An introduction to abstract harmonic analysis (The University series in higher mathematics)
by Lynn H Loomis
Hardcover: 190 Pages (1953)

Asin: B0007FUU30
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2. Course in Abstract Harmonic Analysis A (Studies in Advanced Mathematics)
Hardcover: 288 Pages (1995-02-01)
list price: US$89.95 -- used & new: US$89.95
(price subject to change: see help)
Asin: 0849384907
Average Customer Review: 5.0 out of 5 stars
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Editorial Review

Product Description
Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory.A Course in Abstract Harmonic Analysis offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory. After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book proceeds to the basic facts about locally compact groups, Haar measure, and unitary representations, including the Gelfand-Raikov existence theorem. The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications. The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups. ... Read more

Customer Reviews (1)

5-0 out of 5 stars Review
A very good exposition of this beautiful subject.As a student just entering the field, I had to get a copy of my own! ... Read more


3. Abstract Harmonic Analysis: Volume 2: Structure and Analysis for Compact Groups. Analysis on Locally Compact Abelian Groups (Grundlehren der mathematischen Wissenschaften) (v. 2)
by Edwin Hewitt, Kenneth A. Ross
Paperback: 771 Pages (1994-08-05)
list price: US$119.00 -- used & new: US$94.49
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Asin: 3540583181
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Editorial Review

Product Description
This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae ... Read more


4. Elements of Abstract Harmonic Analysis
by George Bachman
 Hardcover: Pages (1964)

Asin: B003HR15PC
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5. ELEMENTS OF ABSTRACT HARMONIC ANALYSIS
by George Bachman
 Paperback: Pages (1965)

Asin: B001IAMSJ2
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6. Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)
by Hartmut Führ
Paperback: 193 Pages (2005-04-06)
list price: US$59.95 -- used & new: US$49.12
(price subject to change: see help)
Asin: 3540242597
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Editorial Review

Product Description

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.

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7. Measure and integration theory on infinite-dimensional spaces, Volume 48: Abstract harmonic analysis (Pure and Applied Mathematics)
Hardcover: 425 Pages (1972-02-11)
list price: US$117.00
Isbn: 0127676503
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8. Abstract Harmonic Analysis: Volume I: Structure of Topological Groups, Integration Theory, Group Representations (Die Grundlehren der Mathematischen Wissenschaften: Band 115)
 Hardcover: Pages (1963)

Asin: B000UOGL72
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9. Abstract Harmonic Analysis 2vol
by HewittEdwin
 Hardcover: Pages (1963)

Asin: B000YC2XWW
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10. Abstract Harmonic Analysis V.1: Structure of Topological Groups,
by Edwin Hewitt
 Hardcover: Pages (1963)

Asin: B000WS224M
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11. Abstract Harmonic Analysis: Volume 2: Structure and Analysis for Compact Groups. Analysis on Locally Compact Abelian Groups (Grundlehren der mathematischen Wissenschaften) (v. 2)
by Edwin and Ross, Kenneth A. Hewitt
 Hardcover: Pages (1970)

Asin: B0025FQNJK
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12. Abstract Harmonic Analysis
by Lipsman, Ronald L.
 Paperback: Pages (1968-01-01)

Asin: B003D629P2
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13. Abstract Harmonic Analysis Volume 1 1ST Edition
by Edwin Hewitt
 Hardcover: Pages (1963-01-01)

Asin: B0012KCGO0
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14. Abstract Harmonic Analysis, Volume I: Sturcture of topological Groups, intergration Theory, Group Representations
by Edwin; Ross, Kenneth A. Hewitt
 Hardcover: 519 Pages (1963)

Asin: B0012JNS20
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15. Abstract Harmonic Analysis: Structure of Topological Groups Integration Theory Group Representations (Grundlehren Der Mathematischen Wissenschaften)
by Edwin Hewitt, Kenneth A. Ross
 Hardcover: Pages (1987-05)
list price: US$85.00
Isbn: 0387094342
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Editorial Review

Product Description

The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables.

While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...).

From a review of the first edition:

“Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Moreover, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online

... Read more

16. Elements of Abstract Harmonic Analysis
by BachmanGeorge
 Paperback: Pages (1964)

Asin: B000YC5BGC
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17. Measure and Integration Theory on Infinite-Dimensional Spaces: Abstract Harmonic Analysis
by Xia; Translated By Elmer J. Brody dao-Xing
 Paperback: Pages (1972)

Asin: B000OHFFC2
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18. Abstract harmonic Analysis Volume I [ One 1 ] Structure of Topological Groups in
by Edwin and Kenneth A. Ross Hewitt
 Hardcover: Pages (1963-01-01)

Asin: B002JSHL08
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19. Abstract Harmonic Analysis, Volume 2.
by Edwin Hewitt
 Hardcover: Pages (1970)

Asin: B000UFWSTQ
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20. Abstract Harmonic Analysis Volume 1: Structure of Topological Groups, Integratio
 Unknown Binding: Pages (1963-01-01)

Asin: B001YUQEFU
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