Introduction to Fourier Analysis on Euclidean Spaces by Elias M. Stein, Guido Weiss
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About this book :-
Introduction to Fourier Analysis on Euclidean Spaces written by
Elias M. Stein, Guido Weiss
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.
(Elias M. Stein, Guido Weiss)
Book Detail :-
Title: Introduction to Fourier Analysis on Euclidean Spaces
Edition:
Author(s): Elias M. Stein, Guido Weiss
Publisher: Princeton University Press
Series: Princeton Mathematical Series
Year: 1971
Pages: 307
Type: PDF
Language: English
ISBN: 069108078X,9780691080789
Country: US
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About Author :-
Author Elias Menachem Stein was an American mathematician who was famous because of his work in the field of harmonic analysis. He was professor of Mathematics at Princeton University from 1963 until his death in 2018.
Author Menachem Stein was born in Antwerp Belgium, to Elkan Stein and Chana Goldman, Ashkenazi Jews from Belgium. In 1940, the Stein family move to the United States. He graduated from Stuyvesant High School in 1949, where he was classmates with future Fields Medalist Paul Cohen, before moving on to the University of Chicago for college. In 1955, Stein earned a Ph.D. from the University of Chicago under the direction of Antoni Zygmund. He began teaching in MIT in 1955, moved to the University of Chicago in 1958 as an assistant professor, and in 1963 became a full professor at Princeton.
Stein worked primarily in the field of harmonic analysis, and made contributions in both extending and clarifying Calderón–Zygmund theory. These include Stein interpolation, the Stein maximal principle, Stein complementary series representations, Nikishin–Pisier–Stein factorization in operator theory, the Tomas–Stein restriction theorem in Fourier analysis, the Kunze–Stein phenomenon in convolution on semisimple groups, the Cotlar–Stein lemma concerning the sum of almost orthogonal operators, and the Fefferman–Stein theory of the Hardy space and the space of functions of bounded mean oscillation.
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Book Contents :-
Introduction to Fourier Analysis on Euclidean Spaces written by
Elias M. Stein, Guido Weiss
cover the following topics.
1. Fourier Transform
2. Boundary Values of Harmonic Functions
3. Theory of HP spaces on Tubes
4. Symmetry Properties of the Fourier Transform
5. Interpolation of Operators
6. Singular Integrals and Systems of Conjugate Harmonic Functions
7. Multiple Fourier Series
Bibiliography
Index
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