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liflyand elijah - harmonic analysis on the real line

Harmonic Analysis on the Real Line A Path in the Theory

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Lingua: Inglese


Pubblicazione: 09/2022
Edizione: 1st ed. 2021


This book sketches a path for newcomers into the theory of harmonic analysis on the real line. It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic. Many of these results are also a necessary basis for multivariate extensions. An extensive bibliography, as well as hints to open problems are included. The book can be used as a skeleton for designing certain special courses, but it is also suitable for self-study.


- Introduction. - Classes of Functions. - Fourier Series. - Fourier Transform. - Hilbert Transform. - Hardy Spaces and their Subspaces. - Hardy Inequalities. - Certain Applications. 


Elijah Liflyand has recently retired from his position at the Department of Mathematics at Bar-Ilan University in Israel, but not from mathematics. He also holds a position at the at the Regional Mathematical Center of Southern Federal University in Rostov-on-Don, Russia. His areas of expertise are in Fourier Analysis, Complex Analysis, and Approximation Theory, among others. With Birkhäuser/Springer, he has published two books: "Decay of the Fourier Transform" (with Alex Iosevich, 2014), and "Functions of Bounded Variation and Their Fourier Transforms" (in the Applied Numerical and Harmonic Analysis series, 2019).

Altre Informazioni



Condizione: Nuovo
Collana: Pathways in Mathematics
Dimensioni: 235 x 155 mm Ø 326 gr
Formato: Brossura
Illustration Notes:IX, 197 p.
Pagine Arabe: 197
Pagine Romane: ix

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