On the \(C^*\)-algebra of singular integral operators with Carleman shift on a non-closed arc
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Publication:1329565
DOI10.1007/BF01192460zbMath0817.47069MaRDI QIDQ1329565
Georgij S. Litvinchuk, Viktor G. Kravchenko
Publication date: 6 August 1995
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Carleman shiftcontinuous coefficient\(C^*\)-algebra methodsalgebra generated by singular integral operators in \(L_ 2 ([0, 1)\)]complete description
General theory of (C^*)-algebras (46L05) Linear operators on function spaces (general) (47B38) Integral operators (47G10)
Related Items (12)
Spectral measures in \(C^{*}\)-algebras of singular integral operators with shifts ⋮ A Duduchava--Saginashvili's type theory for Wiener--Hopf plus Hankel operators ⋮ A new type of integral equations related to the co-area formula (reduction of dimension in multi-dimensional integral equations) ⋮ Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients ⋮ The index of weighted singular integral operators with shifts and slowly oscillating data ⋮ Newton-Kantorovich approximations to nonlinear singular integral equation with shift ⋮ On a class of nonlinear singular integral equations with shift on a closed contour ⋮ Modelling systems with renewable resources based on functional operators with shift ⋮ Explicit solutions of Cauchy singular integral equations with weighted Carleman shift ⋮ The method of Kantorovich majorants to nonlinear singular integral equation with shift ⋮ On solution of nonlinear singular integral equations with shift in generalized Hölder space ⋮ On the solution of a certain class of nonlinear singular integro-differential equations with Carleman shift
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