Functions of Bounded Variation and Their Fourier Transforms

• Main Author: Liflyand, Elijah (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Applied and Numerical Harmonic Analysis,
• Subjects: Harmonic analysis.; Abstract Harmonic Analysis.

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 F...

Table of Contents:

• Stock and tools
• Functions with derivative in a Hardy space
• Integrability spaces: wide, wider and widest
• Sharper results
• Stock and tools for several dimensions
• Integrability of the Fourier transforms
• Sharp results
• Bounded variation and discretization
• Multidimensional case: radial functions.