Convolution equations of the first kind on a finite interval in Sobolev spaces

DOI10.1007/BF01732316zbMath0715.47016OpenAlexW2053122674MaRDI QIDQ752439

Maria Amelia Bastos, António F. dos Santos

Publication date: 1990

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01732316

zbMATH Keywords

Fredholm propertiesmatrix-valued functionconvolution equation of the first kindinvertibiliy of the Wiener-Hopf operatorwave diffraction by a strip

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (14)

On convolution equations with semi-almost periodic symbols on a finite interval ⋮ Elastodynamical scattering by \(N\) parallel half-planes in \(\mathbb{R}^3\). II: Explicit solutions for \(N=2\) by explicit symbol factorization ⋮ A note on first kind convolution equations on a finite interval ⋮ Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions ⋮ A Characterization of the range of a finite convolution operator with a hankel kernel ⋮ 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 ⋮ Generalized factorization for a class of 2 × 2 matrix functions with non-rational entries ⋮ The corona theorem and the existence of canonical factorization of triangular AP-matrix functions ⋮ A new and self-contained presentation of the theory of boundary operators for slit diffraction and their logarithmic approximations ⋮ A new approach to the convolution operator on a finite interval ⋮ Relations between convolution type operators on intervals and on the half-line ⋮ New results on the invertibility of the finite interval convolution operator ⋮ Oscillatory Riemann-Hilbert problems and the corona theorem.

Cites Work

• Unnamed Item
• The Sommerfeld problem revisited: Solution spaces and the edge conditions
• Convolution equations on a finite segment and factorization of elliptic matrices

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