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Mapping properties of pseudo‐differential operator on the spaces of type Gelfand‐Shilov
Author(s) -
Mahato Kanailal,
Pasawan Durgesh
Publication year - 2021
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.7295
Subject(s) - mathematics , hankel transform , type (biology) , bounded function , differential operator , operator (biology) , pure mathematics , mathematical analysis , differential (mechanical device) , algebra over a field , fourier transform , ecology , biochemistry , chemistry , repressor , gene , transcription factor , engineering , biology , aerospace engineering
This paper deals with the study of some mapping properties of fractional Hankel transform on some suitably constructed Gelfand‐Shilov spaces of type W . Further pseudo‐differential operator associated with fractional Hankel transform is defined and studied its bounded ness properties on some suitably designed Gelfand‐Shilov spaces of type W .