FINITE INTERVAL CONVOLUTION-OPERATORS ON THE BESSEL POTENTIAL SPACES H-P(S)

Citation
Ma. Bastos et al., FINITE INTERVAL CONVOLUTION-OPERATORS ON THE BESSEL POTENTIAL SPACES H-P(S), Mathematische Nachrichten, 173, 1995, pp. 49-63
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
0025584X
Volume
173
Year of publication
1995
Pages
49 - 63
Database
ISI
SICI code
0025-584X(1995)173:<49:FICOTB>2.0.ZU;2-O
Abstract
Finite interval convolution operators acting between Bessel potential spaces H-p(s) are studied in regard ts Fredholm properties and inverti bility. The Fourier transform of the kernel-function of the operator i s assumed to be piecewise continuous on R. An example from diffraction theory is included.