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Factorizations and singularvalue estimates of operators with Gelfand-Shilov and Pilipovic' kernels
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)
Agders universitet, Norge.
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
(English)In: Journal of Fourier Analysis and Applications, ISSN 1069-5869, E-ISSN 1531-5851Article in journal (Refereed) Accepted
Abstract [en]

We prove that any linear operator with kernel in a Pilipovi{\'c} or Gelfand-Shilov spacecan be factorized by two operators in the same class. We also give links onnumerical approximations for such compositions. We apply these composition rulesto deduce estimates of singular values and establish Schatten-von Neumann propertiesfor such operators.

Keyword [en]
matrices, harmonic oscillator, Hermite functions, kernel theorems, Schatten-von Neumann operators, singular values
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61880OAI: oai:DiVA.org:lnu-61880DiVA: diva2:1085001
Projects
Matematisk modellering, ICMM
Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2017-03-28

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