On algebras generated by convolutions and discontinuous functions

DOI10.1007/BF01201150zbMath0621.47029MaRDI QIDQ1089892

Roland Duduchava

Publication date: 1987

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

zbMATH Keywords

multiplication operatorsindex formulaeFourier convolutionMellin convolution operatorsdiscontinuous presymbolFredholmity criterion

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) General theory of topological algebras (46H05)

Related Items

Mellin convolution operators in Bessel potential spaces ⋮ The algebra of non-classical singular integral operators on half space ⋮ On the approximation of singular integral equations by equations with smooth kernels ⋮ Singular integral operators with the complex conjugation on curves with cusps ⋮ On a weighted singular integral operator with shifts and slowly oscillating data ⋮ Finite section method in some algebras of multiplication and convolution operators and a flip ⋮ The double layer potential method for a boundary transmission problem for the Laplace operator in an infinite wedge ⋮ Mixed boundary value problems for the Laplace–Beltrami equation ⋮ Finite Interval Convolution Operators on the Bessel Potential Spaces H ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ Nonclassical multidimensional singular integral operators on \({\mathbb{R}}_ +^{n+1}\) ⋮ Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data ⋮ A fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and a semi-infinite intervel¹ ⋮ The \(C^{*}\)-algebra of singular integral operators with semi-almost periodic coefficients. ⋮ The index of weighted singular integral operators with shifts and slowly oscillating data ⋮ Semi-Fredholmness of Weighted Singular Integral Operators with Shifts and Slowly Oscillating Data ⋮ An algebra of integral operators with fixed singularities in kernels ⋮ Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• The C*-algebra of the elliptic boundary problem
• [Russian Text Ignored.]
• OPERATORS OF CONVOLUTION TYPE IN CONES
• SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS AND THEIR SYMBOLS
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