It has been known how to construct pseudodifferential operators from modular forms and Jacobi-like forms. In this paper, we construct Hecke operators on the pseudodiiferential operators that are compatible with the usual Hecke operators on modular forms and Jacobi-like forms. (~) 1998 Elsevier Scien
β¦ LIBER β¦
Transmutation operators and pseudodifferential operators
β Scribed by V. V. Katrakhov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1980
- Tongue
- English
- Weight
- 570 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0037-4466
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We establish a connection between certain classes of pseudodifferential operators and HilleαTamarkin operators. As an application, we find the conditions that guarantee compactness and summability of the eigenvalues of pseudodifferential operators acting on the modulation spaces M p, p .