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-Helson.
Jadual kandungan
1 Elementary Results.- 2 An Approximation Theorem forCV2(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).
Bahasa Inggeris ● Format PDF ● Halaman-halaman 171 ● ISBN 9783642206566 ● Saiz fail 2.5 MB ● Penerbit Springer Berlin ● Bandar raya Heidelberg ● Negara DE ● Diterbitkan 2011 ● Muat turun 24 bulan ● Mata wang EUR ● ID 5238848 ● Salin perlindungan Social DRM