The C*-algebra of the \(n\)-dimensional harmonic oscillator

DOI10.1007/BF01168709zbMath0453.47030MaRDI QIDQ1149108

Houshang H. Sohrab

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/154763

zbMATH Keywords

index formulaharmonic oscillatorcompact operatorsFredholm criterionGelfand spaceC*-algebra of O-order pseudo-differential operatorscommutative C*-algebra with identitygraded algebra of partial differential operators

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

On essential self-adjointness of powers and comparison algebras ⋮ Cordes algebras based on Schrödinger operators with rapidly increasing potentials ⋮ Spatially nontemperate pseudodifferential operators, sphere extensions and Fredholm theory ⋮ C*-algebras of singular integral operators on the line related to singular Sturm-Liouville problems

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