Name: Functions of Bounded Variation and Their Fourier Transforms (en Inglés)
SKU: 63491873
Price: 937.43 MXN
Availability: InStock
Author: Elijah Liflyand
ISBN: 9783030044305

portada Functions of Bounded Variation and Their Fourier Transforms (en Inglés)

Functions of Bounded Variation and Their Fourier Transforms (en Inglés)

Formato

Libro Físico

Editorial

Springer Nature B.V.

Autor

Elijah Liflyand

Año

2019

Idioma

Inglés

N° páginas

236

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6 cm

ISBN13

9783030044305

Functions of Bounded Variation and Their Fourier Transforms (en Inglés)

Elijah Liflyand (Autor) · Springer Nature B.V. · Tapa Blanda

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Reseña del libro "Functions of Bounded Variation and Their Fourier Transforms (en Inglés)"

Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform.

This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series.