Uncertainty inequality for weighted Fock spaces

In this paper we introduce a weighted Fock space F β . This space which gives a generalization of some Hilbert spaces of analytic functions on the complex plane C like, the classical Fock space F , the Dunkl type Fock space F ν and the Bessel-Struve type Fock space F ν , it plays a background to our...

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Bibliographic Details
Published inThe Journal of Analysis Vol. 32; no. 5; pp. 2879 - 2887
Main Author Soltani, Fethi
Format Journal Article
LanguageEnglish
Published Singapore Springer Nature Singapore 2024
Subjects
Abstract Harmonic Analysis
Analysis
Fourier Analysis
Functional Analysis
Mathematics
Mathematics and Statistics
Measure and Integration
Original Research Paper
Special Functions
32A15
Uncertainty inequality
Weighted Fock spaces
Analytic functions
30H20
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Summary:In this paper we introduce a weighted Fock space F β . This space which gives a generalization of some Hilbert spaces of analytic functions on the complex plane C like, the classical Fock space F , the Dunkl type Fock space F ν and the Bessel-Struve type Fock space F ν , it plays a background to our contribution. Especially, we study the multiplication operator M by z 2 and its adjoint operator L F β on F β , and we deduce a general uncertainty inequality of Heisenberg type for this space.
ISSN:0971-3611
2367-2501
DOI:10.1007/s41478-024-00776-7