Convolution equations on a finite segment and factorization of elliptic matrices

DOI10.1007/BF01145434zbMath0464.45003OpenAlexW2020378360MaRDI QIDQ1154074

Victor Yu. Novokshenov

Publication date: 1980

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01145434

zbMATH Keywords

Sobolev spacesolvabilitysymbolfinite intervalWiener-Hopf methodconvolution type equationfactorization of elliptic matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Operations with distributions and generalized functions (46F10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)

Related Items (11)

Remarks on the solvability of a convolution integral equation on a finite interval ⋮ О решении уравнения свертки с суммарно-разностным ядром ⋮ Large-\(N\) correlation functions in \( \mathcal{N} = 2\) superconformal QCD ⋮ On convergence of form factor expansions in the infinite volume quantum sinh-Gordon model in \(1+1\) dimensions ⋮ Bootstrap approach to \(1+1\)-dimensional integrable quantum field theories: the case of the sinh-Gordon model ⋮ Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions ⋮ Convolution equations of the first kind on a finite interval in Sobolev spaces ⋮ The corona theorem and the existence of canonical factorization of triangular AP-matrix functions ⋮ Relations between convolution type operators on intervals and on the half-line ⋮ On the method of two-sided continuation of solutions of the integral convolution equation on a finite interval ⋮ Oscillatory Riemann-Hilbert problems and the corona theorem.

Cites Work

• General Wiener-Hopf Operators
• Asymptotic Distribution of Eigenvalues of the Kernel in the Kirkwood-Riseman Integral Equation

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