## 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 kernelβfunction of the operator is assumed to be piecewise continuous on R. An example from diffraction t
BKW-Operators on the Interval and the Sequence Spaces
β Scribed by Keiji Izuchi; Sin-Ei Takahasi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 354 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
β¦ Synopsis
Let 1 be the closed unit interval or 1=[1Γn; n=1, 2, ..., ]. We give a complete characterization of BKW-operators on C(1) for the test functions [1, t, t 2 ]. 1996 Academic Press, Inc. * &T * f&Tf& =0 for f # S, it follows that [T * ] * converges strongly to T on X. We denote by BKW(X, Y; S ) the set of BKW-operators for S. When X=Y, we write article no. 0098 159
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