Mixed multidimensional integral operators with piecewise constant kernels and their representations

DOI10.1080/03081087.2017.1415294OpenAlexW2963551475MaRDI QIDQ5205775

Anton A. Kutsenko

Publication date: 16 December 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05907

zbMATH Keywords

operator algebrasrepresentation of integral operatorspiecewise constant kernel functionstraces and determinants

Mathematics Subject Classification ID

Linear waves in solid mechanics (74J05) Integral operators (47G10) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (1)

Matrix representations of multidimensional integral and ergodic operators

Cites Work

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• Algebra of 2D periodic operators with local and perpendicular defects
• \(C^\ast\)-algebras of Bergman type operators with piecewise constant coefficients over sectors
• Integral operators with discontinuous kernels
• Explicit formula for amplitudes of waves in lattices with defects and sources and its application for defects detection
• A self-consistent high dimensional modelling based decomposition approach for univariate linear integral operators: tridiagonal kernel enhanced multivariance products representation (TKEMPR)
• Best approximations of integrals by integrals of finite rank
• Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions

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