Spectral Analysis of Finite Convolution Operators

DOI10.2307/1997108zbMath0322.47030OpenAlexW4242718527MaRDI QIDQ4084846

Richard Frankfurt

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997108

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Volterra integral equations (45D05) General theory of univalent and multivalent functions of one complex variable (30C55) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (5)

Spectral analysis of finite convolution operators with matrix kernels ⋮ Spectral analysis of Volterra operators with kernel depending on the difference of arguments ⋮ Weak * generators of quotient algebras of \(H^\infty\) ⋮ Semigroups of operators on quotient spaces of \(H^ 2\) ⋮ Convolution operators on Lebesgue spaces of an \(n\)-dimensional cube

Cites Work

• On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators
• Finite convolution operators
• A remark on the Volterra operator
• On similarity invariants of certain operators in \(L^ p\)
• Generators of certain radical algebras
• On Isometric Equivalence of Certain Volterra Operators
• [https://portal.mardi4nfdi.de/wiki/Publication:5342082 Volterra Operators Similar to J: f(x) → � x 0 f(y)dy]
• Generalized Interpolation in H ∞
• Two papers on similarity of certain Volterra integral operators
• Convolution Operators on Lebesgue Spaces of the Half-Line
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