Commutators and systems of singular integral equations. I

DOI10.1007/BF02391914zbMath0179.44601MaRDI QIDQ2534538

Joel D. Pincus

Publication date: 1968

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

integral equations, integral transforms

Related Items (45)

Multiple operator integrals in perturbation theory ⋮ Subnormal and hyponormal generators of \(C^{*}\)-algebras ⋮ Self-commutator inequalities in higher dimension ⋮ A unitary invariant for hyponormal operators ⋮ On a question of Brown, Douglas, and Fillmore ⋮ Spectral convergence of self-adjoint operators and generalized wave operators ⋮ Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ Functions of almost commuting operators and an extension of the Helton-Howe trace formula ⋮ A two-dimensional moment problem ⋮ Linear analysis of quadrature domains ⋮ Principal measures and spectral shift measures associated with Dixmier traces ⋮ Line bundles defined by the Schwarz function ⋮ On the almost unperturbed Schrödinger pair of operators ⋮ Trace formula of semicommutators ⋮ Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ A commutator formula for subnormal tuples of operators ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:6125728 On the M�bius invariant principal functions of Pincus] ⋮ Mosaic and principal function of hyponormal and semi-hyponormal operators ⋮ Symmetric Wiener-Hopf and Toeplitz operators ⋮ On the Carey-Helton-Howe-Pincus trace formula ⋮ Toeplitz type operators, determining functions, principal functions, and trace formulas ⋮ A Representation Theorem for Determining Functions ⋮ The \(L\) problem of moments in two dimensions ⋮ Unnamed Item ⋮ Selected topics on quadrature domains ⋮ Spectral analysis of 2D outlier layout ⋮ Contraction operators and principal currents ⋮ Absolutely Continuous Component of a Class of Integral Operators ⋮ Hyponormal Operators Having Real Parts with Simple Spectra ⋮ Hyponormal and essentially normal operators ⋮ Commutators, symbols, and determining functions ⋮ Traces of commutators of integral operators ⋮ Mosaics, principal functions, and mean motion in von Neumann algebras ⋮ The resultant on compact Riemann surfaces ⋮ Contractions with polynomial characteristic functions I. Geometric approach ⋮ A Note on Commutators and Singular Integrals ⋮ Local Spectra of Seminormal Operators ⋮ Traces of Commutators of Integral Operators – the Aftermath ⋮ On commuting unbounded self-adjoint operators. II ⋮ Completely seminormal operators with boundary eigenvalues ⋮ Singular integral operators on the unit circle ⋮ Almost commuting functions of almost commuting self-adjoint operators ⋮ Local Resolvents of Operators with One-Dimensional Self-Commutator ⋮ A kernel for operators with one-dimensional self-commutators ⋮ Anti-commutators and the related trace formulas

Cites Work

• Unnamed Item
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• On Toeplitz matrices, absolute continuity, and unitary equivalence
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• On exponential representation of analytic functions in the upper half- plane with positive imaginary part
• The spectral theory of Wiener-Hopf type integral operators on generalizd Sobolev spaces
• An abstract stationary approach to perturbation of continuous spectra and scattering theory
• Perturbations of Self-Adjoint Transformation
• A Spectral Theory for Self-Adjoint Singular Integral Operators
• On the Spectral Theory of Singular Integral Operators
• Commutators, Generalized Eigenfunction Expansions and Singular Integral Operators
• Singular integral operators on the unit circle

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