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A Panorama of Harmonic Analysis
 
A Panorama of Harmonic Analysis
MAA Press: An Imprint of the American Mathematical Society
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
A Panorama of Harmonic Analysis
Click above image for expanded view
A Panorama of Harmonic Analysis
MAA Press: An Imprint of the American Mathematical Society
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
  • Book Details
     
     
    The Carus Mathematical Monographs
    Volume: 271999; 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.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 271999; 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.

  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.