Softcover ISBN: | 978-1-4704-5112-7 |
Product Code: | CAR/27 |
List Price: | $75.00 |
MAA Member Price: | $56.25 |
AMS Member Price: | $56.25 |
eBook ISBN: | 978-1-61444-026-0 |
Product Code: | CAR/27.E |
List Price: | $70.00 |
MAA Member Price: | $52.50 |
AMS Member Price: | $52.50 |
Softcover ISBN: | 978-1-4704-5112-7 |
eBook: ISBN: | 978-1-61444-026-0 |
Product Code: | CAR/27.B |
List Price: | $145.00 $110.00 |
MAA Member Price: | $108.75 $82.50 |
AMS Member Price: | $108.75 $82.50 |
Softcover ISBN: | 978-1-4704-5112-7 |
Product Code: | CAR/27 |
List Price: | $75.00 |
MAA Member Price: | $56.25 |
AMS Member Price: | $56.25 |
eBook ISBN: | 978-1-61444-026-0 |
Product Code: | CAR/27.E |
List Price: | $70.00 |
MAA Member Price: | $52.50 |
AMS Member Price: | $52.50 |
Softcover ISBN: | 978-1-4704-5112-7 |
eBook ISBN: | 978-1-61444-026-0 |
Product Code: | CAR/27.B |
List Price: | $145.00 $110.00 |
MAA Member Price: | $108.75 $82.50 |
AMS Member Price: | $108.75 $82.50 |
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Book DetailsThe Carus Mathematical MonographsVolume: 27; 1999; 357 pp
A Panorama of Harmonic Analysis treats the subject of harmonic analysis, from its earliest beginnings to the latest research. Following both an historical and a conceptual genesis, the book discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax of the book is a consideration of the earlier ideas from the point of view of spaces of homogeneous type. The book culminates with a discussion of wavelets-one of the newest ideas in the subject.
A Panorama of Harmonic Analysis is intended for graduate students, advanced undergraduates, mathematicians, and anyone wanting to get a quick overview of the subject of cummutative harmonic analysis. Applications are to mathematical physics, engineering and other parts of hard science. Required background is calculus, set theory, integration theory, and the theory of sequences and series.
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Table of Contents
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Chapters
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Chapter 0. Overview of Measure Theory and Functional Analysis
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Chapter 1. Fourier Series Basics
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Chapter 2. The Fourier Transform
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Chapter 3. Multiple Fourier Series
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Chapter 4. Spherical Harmonics
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Chapter 5. Fractional Integrals, Singular Integrals, and Hardy Spaces
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Chapter 6. Modern Theories of Integral Operators
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Chapter 7. Wavelets
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Chapter 8. A Retrospective
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
A Panorama of Harmonic Analysis treats the subject of harmonic analysis, from its earliest beginnings to the latest research. Following both an historical and a conceptual genesis, the book discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax of the book is a consideration of the earlier ideas from the point of view of spaces of homogeneous type. The book culminates with a discussion of wavelets-one of the newest ideas in the subject.
A Panorama of Harmonic Analysis is intended for graduate students, advanced undergraduates, mathematicians, and anyone wanting to get a quick overview of the subject of cummutative harmonic analysis. Applications are to mathematical physics, engineering and other parts of hard science. Required background is calculus, set theory, integration theory, and the theory of sequences and series.
-
Chapters
-
Chapter 0. Overview of Measure Theory and Functional Analysis
-
Chapter 1. Fourier Series Basics
-
Chapter 2. The Fourier Transform
-
Chapter 3. Multiple Fourier Series
-
Chapter 4. Spherical Harmonics
-
Chapter 5. Fractional Integrals, Singular Integrals, and Hardy Spaces
-
Chapter 6. Modern Theories of Integral Operators
-
Chapter 7. Wavelets
-
Chapter 8. A Retrospective