Introduction to Fourier Analysis on Euclidean Spaces

Introduction to Fourier Analysis on Euclidean Spaces PDF

Author: Elias M. Stein

Publisher: Princeton University Press

Published: 1971-11-21

Total Pages: 318

ISBN-13: 9780691080789

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The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.

Harmonic Analysis in Euclidean Spaces, Part 2

Harmonic Analysis in Euclidean Spaces, Part 2 PDF

Author: Guido Weiss

Publisher: American Mathematical Soc.

Published: 1979

Total Pages: 448

ISBN-13: 0821814389

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Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, and Lie groups and functional analysis.

Harmonic Analysis in Euclidean Spaces

Harmonic Analysis in Euclidean Spaces PDF

Author: Guido Weiss

Publisher: American Mathematical Soc.

Published: 1979-12-31

Total Pages: 452

ISBN-13: 9780821867952

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Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, Lie groups and functional analysis

A Panorama of Harmonic Analysis

A Panorama of Harmonic Analysis PDF

Author: Steven G. Krantz

Publisher: American Mathematical Soc.

Published: 2019-07-03

Total Pages: 357

ISBN-13: 1470451123

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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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