Bargmann-type kernels and unbounded subnormals

DOI10.1216/rmjm/1181072379zbMath0819.47031OpenAlexW2051542588MaRDI QIDQ1343995

Ameer Athavale

Publication date: 17 August 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072379

zbMATH Keywords

positive definite kernelsmultiplication operatorcreation operators corresponding to the multidimensional Schrödinger representationmultidimensional Stieltjes moment problemmultiplication operator in the classical Bargmann spacemultivariable unbounded subnormal weighted shiftsunbounded subnormal

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operator methods in interpolation, moment and extension problems (47A57)

Cites Work

• Commutative algebras of unbounded operators
• Unbounded weighted shifts and subnormality
• On some classes of unbounded operators
• Quasi-analytic vectors
• Generalized Bergman Kernels and the Cowen-Douglas Theory
• On the Spectra of Unbounded Subnormal Operators
• Holomorphic Kernels and Commuting Operators
• Theory of Reproducing Kernels
• What is the Laplace Transform?
• Toeplitz operators and quantum mechanics
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