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Characterization of Weyl operator in terms of Mehler–Fock transform
Author(s) -
Verma Sandeep Kumar,
Prasad Akhilesh
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6606
Subject(s) - fock space , mathematics , standard probability space , pure mathematics , characterization (materials science) , space (punctuation) , compact space , integral transform , lp space , operator (biology) , mathematical analysis , quantum mechanics , banach space , physics , biochemistry , chemistry , repressor , transcription factor , optics , gene , linguistics , philosophy
In this paper, we define the windowed‐Mehler–Fock transform and introduce the corresponding Weyl transform. Further, we examine the boundedness of windowed‐Mehler–Fock transform in Lebesgue space and establish some of its fundamental properties. Also, we give the criteria of boundedness and compactness of Weyl transform in Lebesgue space.