## 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
✦ LIBER ✦
Minimal Normalization of Wiener–Hopf Operators in Spaces of Bessel Potentials
✍ Scribed by A.Moura Santos; F.-O. Speck; F.S. Teixeira
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 348 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0022-247X
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Let R"+ ={([,, . . . , tn)€R": CnsO}. We denote by P the orthogonal projection from L2(Rn) onto L,(R:). By P is denoted the FOURIER transformation in L3( Rn) : Pi([) = J f ( z ) e-z(z\*t)dz . ## Rn We consider the pseudodifferential operator A = PF-IuF acting in the space L,(R'L,), where the sym