Finite Interval Convolution Operators on the Bessel Potential Spaces H

DOI10.1002/mana.19951730104zbMath0830.47020OpenAlexW2159925372MaRDI QIDQ4843543

Roland Duduchava, Maria Amelia Bastos, António F. dos Santos

Publication date: 4 February 1996

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19951730104

zbMATH Keywords

invertibilityFredholm propertiesdiffraction theoryfinite interval convolution operators acting between Bessel potential spacesFourier transform of the kernel-function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38)

Related Items (10)

A fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and a semi-infinite intervel¹ ⋮ On the Reduction of Linear Systems Related to Boundary Value Problems ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ The corona theorem and the existence of canonical factorization of triangular AP-matrix functions ⋮ The corona theorem and the canonical factorization of triangular AP matrix functions -- Effective criteria and explicit formulas ⋮ Minimal normalization of Wiener-Hopf operators in spaces of Bessel potentials ⋮ 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

• On algebras generated by convolutions and discontinuous functions
• A note on first kind convolution equations on a finite interval

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