Extensions of the Titchmarsh Convolution Theorem with Applications in the Theory of Invariant Subspaces

DOI10.1112/plms/s3-46.2.288zbMath0468.46038OpenAlexW2078502253MaRDI QIDQ3921697

Yngve Domar

Publication date: 1983

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-46.2.288

zbMATH Keywords

convolution equationclosed idealsbilateral weighted shiftTitchmarsh convolution theoremconvolution Banach algebraradical Banach algebraweighted Lp-spaceright translation-invariant subspaces

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Ideals and subalgebras (46H10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (7)

A note on ``universal Phragmén-Lindelöf theorems and a lemma of Beurling ⋮ On the minimum of harmonic functions ⋮ Convolution theorems of Titchmarsh type on discrete Rⁿ ⋮ Operator algebras with contractive approximate identities ⋮ The global dimension theorem for weighted convolution algebras ⋮ A Titchmarsh-type convolution theorem on the group Z ⋮ Standard homomorphisms and regulated weights on weighted convolution algebras

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