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Numerical pseudodifferential operator and Fourier regularization

✍ Scribed by Chu-Li Fu; Zhi Qian

Book ID
106335816
Publisher
Springer
Year
2009
Tongue
English
Weight
441 KB
Volume
33
Category
Article
ISSN
1019-7168

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✍ Yu. I. Karlovich πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 252 KB

## Abstract Let __V__ (ℝ) denote the Banach algebra of absolutely continuous functions of bounded total variation on ℝ. We study an algebra 𝔅 of pseudodifferential operators of zero order with compound slowly oscillating __V__ (ℝ)‐valued symbols (__x__, __y__) ↦ __a__ (__x__, __y__, Β·) that satisfy

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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