Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable. (English) Zbl 07707774
Research contains brief study about the Weyl Pseudo-Differential operator with radial symbol and its various theories in Gelfand-Shilov space. Such study can be extended for different differential operator corresponding to different integral transform ove different function space. Reserach is interesting and opens an area of research for the researcher working in the field of integral transform and operator theory.
Reviewer: Upain Kumar Mandal (Patna)
MSC:
| 47G30 | Pseudodifferential operators |
| 46F12 | Integral transforms in distribution spaces |
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
| 35S05 | Pseudodifferential operators as generalizations of partial differential operators |
Keywords:
pseudo-differential operators with radial symbols; Gelfand-Shilov regularity; Hermite expansion; Laguerre expansionsReferences:
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