A fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and a semi-infinite intervel1
DOI10.1080/00036819708840528zbMath0893.47016OpenAlexW2002368694WikidataQ58254406 ScholiaQ58254406MaRDI QIDQ4345135
Frank-Olme Speck, Luis Filipe Pinheiro de Castro
Publication date: 17 July 1997
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036819708840528
Sobolev spacesFredholm propertyconvolution type operatorsWiener-Hopf operatorpiecewise continuous matrix functionskernels that have Fourier transforms
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) (Semi-) Fredholm operators; index theories (47A53)
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Cites Work
- On algebras generated by convolutions and discontinuous functions
- A note on first kind convolution equations on a finite interval
- Wiener-Hopf operators with oscillating symbols and convolution operators on a union of intervals
- Convolution operators on a finite interval with periodic kernel-Fredholm property and invertibility
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- FACTORIZATION OF ALMOST PERIODIC MATRIX-VALUED FUNCTIONS AND THE NOETHER THEORY FOR CERTAIN CLASSES OF EQUATIONS OF CONVOLUTION TYPE
- Sommerfeld Diffraction Problems with Third Kind Boundary Conditions II
- Finite Interval Convolution Operators on the Bessel Potential Spaces H
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