Gaussian Harmonic Analysis

• Κύριος συγγραφέας: Urbina-Romero, Wilfredo (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: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Harmonic analysis.; Abstract Harmonic Analysis.

Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers...

Πίνακας περιεχομένων:

• Chapter 1- Preliminary Results
• Chapter 2- The Ornstein-Uhlenbeck Operator and the Ornstein-Uhlenbeck Semigroup
• Chapter 3- The Poisson-Hermite Semigroup
• Chapter 4- Covering Lemmas, Gaussian Maximal Functions, and Calderón-Zygmund Operators
• Chapter 5- Littlewood-Paley-Stein Theory with respect to γd
• Chapter 6- Spectral Multiplier Operators with respect to γd
• Chapter 7- Function Spaces with respect to γd
• Chapter 8- Gaussian Fractional Integrals and Fractional Derivatives
• Chapter 9- Singular Integrals with respect to γd
• Appendix
• References
• Index.