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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Published in | The Journal of Analysis Vol. 32; no. 5; pp. 2879 - 2887 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Singapore
Springer Nature Singapore
2024
|
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0971-3611 2367-2501 |
DOI: | 10.1007/s41478-024-00776-7 |