A relation between convolution type operators on intervals in sobolev spaces

DOI10.1080/00036810008840823zbMath1022.47502OpenAlexW2089645821MaRDI QIDQ2729453

Luis Filipe Pinheiro de Castro

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840823

zbMATH Keywords

Sobolev spacesdiffractionWiener-Hopf operatorconvolution type operatorBessel potential spacesdiffraction problemoperator relationequivalence after extension relationWiener-Hopf-Hankel operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation
• A note on first kind convolution equations on a finite interval
• Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions
• Toeplitz operators with semialmost periodic symbols
• The corona theorem and the canonical factorization of triangular AP matrix functions -- Effective criteria and explicit formulas
• 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
• Two canonical wedge problems for the Helmholtz equation

This page was built for publication: A relation between convolution type operators on intervals in sobolev spaces