Introduction to Fourier Analysis on Euclidean Spaces (PMS-32).
Material type: TextSeries: Princeton mathematical series ; 32.Publication details: Princeton University Press, 2016.Description: 1 online resourceContent type:- text
- computer
- online resource
- 140088389X
- 9781400883899
- 515 23
- QA403
Print version record.
Frontmatter -- Preface -- Contents -- I. The Fourier Transform -- II. Boundary Values of Harmonic Functions -- III. The Theory of H -- IV. Symmetry Properties o f the Fourier Transform -- V. Interpolation of Operators -- VI. Singular Integrals and Systems of Conjugate Harmonic Functions -- VII. Multiple Fourier Series -- Bibliography -- Index
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.
In English.
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