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Finite Interval Convolution Operators on the Bessel Potential Spaces H

✍ Scribed by M. A. Bastos; A. F. Dos Santos; R. Duduchava

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
574 KB
Volume
173
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Finite interval convolution operators acting between Bessel potential spaces H^s^~p~ are studied in regard to Fredholm properties and invertibility. The Fourier transform of the kernel‐function of the operator is assumed to be piecewise continuous on R. An example from diffraction theory is included.

📜 SIMILAR VOLUMES

Regularity of convolution type operators
Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals
✍ L. P. Castro 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB

## Abstract Convolution type operators acting between Bessel potential spaces defined on a union of two finite intervals are studied from the point of view of their regularity properties. The operators are assumed to have kernels with Fourier transforms in the class of piecewise continuous matrix f