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Noncommutative Sobolev spaces, \(C^\infty\) algebras and Schwartz distributions associated with semicircular systems

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Publication:1425474
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DOI10.2977/prims/1145476106zbMath1046.46050OpenAlexW1991416010MaRDI QIDQ1425474

Masaru Mizuo

Publication date: 21 March 2004

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145476106


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Free probability and free operator algebras (46L54) Stochastic calculus of variations and the Malliavin calculus (60H07)


Related Items

Multinormed semifinite von Neumann algebras, unbounded operators and conditional expectations, A noncrossing basis for noncommutative invariants of \(SL(2, \mathbb C)\)



Cites Work

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  • \(q\)-Gaussian processes: Non-commutative and classical aspects
  • Riesz transforms on deformed Fock spaces
  • Free Random Variables
  • Simplicity and the stable rank of some free product C*-algebras
  • ULTRACONTRACTIVITY AND STRONG SOBOLEV INEQUALITY FOR q-ORNSTEIN–UHLENBECK SEMIGROUP (-1 < q < 1)
  • The Wiener-Hermite Expansion with Time-Dependent Ideal Random Function
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