Convolution Operators on Groups

• Κύριος συγγραφέας: Derighetti, Antoine (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Lecture Notes of the Unione Matematica Italiana, 11
• Θέματα: Mathematics.; Harmonic analysis.; Abstract Harmonic Analysis.

This volume is devoted to a systematic study of the Banach algebra of the convolution operators of a locally compact group. Inspired by classical Fourier analysis we consider operators on Lp spaces, arriving at a description of these operators and Lp versions of the theorems of Wiener and Kaplansky-...

Πίνακας περιεχομένων:

• 1 Elementary Results
• 2 An Approximation Theorem for CV2(G)
• 3 The Figa-Talamanca Herz Algebra
• 4 The Dual of Ap(G)
• 5 CVp(G) as a Module on Ap(G)
• 6 The Support of a Convolution Operator
• 7 Convolution Operators Supported by Subgroups
• 8 CVp(G) as a Subspace of CV2(G).