A new approach to the convolution operator on a finite interval

DOI10.1007/BF01191247zbMath0864.47011OpenAlexW1968791288MaRDI QIDQ2564751

António F. dos Santos, Paulo A. C. Lopes

Publication date: 3 June 1997

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

Full work available at URL: https://doi.org/10.1007/bf01191247

zbMATH Keywords

Fourier transformconvolution operatorkernel functionsinvertibility propertyexplicit formula for the inverse

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Equations and inequalities involving linear operators, with vector unknowns (47A50) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

On the inversion of higher order Wiener-Hopf operators ⋮ The two straight line approach for periodic diffraction boundary-value problems ⋮ Wiener-Hopf factorization for a class of oscillatory symbols

Cites Work

• Convolution equations of the first kind on a finite interval in Sobolev spaces
• Convolution operators on a finite interval with periodic kernel-Fredholm property and invertibility
• On convolution equations with semi-almost periodic symbols on a finite interval
• FACTORIZATION OF ALMOST PERIODIC MATRIX-VALUED FUNCTIONS AND THE NOETHER THEORY FOR CERTAIN CLASSES OF EQUATIONS OF CONVOLUTION TYPE
• Finite Interval Convolution Operators on the Bessel Potential Spaces H

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