Index theory for multivariable Wiener-Hopf operators.

DOI10.1515/crll.1988.384.57zbMath0628.47018OpenAlexW77874986MaRDI QIDQ3764748

Harald Upmeier

Publication date: 1988

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002205254

zbMATH Keywords

Cayley transformationanalytical Fredholm indicesAtiyah-Singer index for pseudo- differential operatorsC\({}^ *\)-algebra generated by all Wiener-Hopf operators on \(L^ 2\) with \(L^ 1\)-symbolfinite composition sequence of idealsindex theory for Toeplitz operators on bounded symmetric domains

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) General theory of (C^*)-algebras (46L05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (3)

Dixmier trace for Toeplitz operators on symmetric domains ⋮ An index theorem for Wiener-Hopf operators ⋮ Spectrum and analytical indices of the \(C^{*}\)-algebra of Wiener--Hopf operators

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