Functions of Bounded Variation and Their Fourier Transforms

• Κύριος συγγραφέας: Liflyand, Elijah (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Applied and Numerical Harmonic Analysis,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.