2024
DOI: 10.1007/s00041-024-10124-9
|View full text |Cite
|
Sign up to set email alerts
|

Quantum Harmonic Analysis for Polyanalytic Fock Spaces

Robert Fulsche,
Raffael Hagger

Abstract: We develop the quantum harmonic analysis framework in the reducible setting and apply our findings to polyanalytic Fock spaces. In particular, we explain some phenomena observed in recent work by the second author and answer a few related open questions. For instance, we show that there exists a symbol such that the corresponding Toeplitz operator is unitary on the analytic Fock space but vanishes completely on one of the true polyanalytic Fock spaces. This follows directly from an explicit characterization of… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 32 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?