Alternative pseudodifferential analysis : With an application to modular forms

Alternative pseudodifferential analysis : With an application to modular forms

المؤلف
André Unterberger
سنة النشر
2008
الناشر
Springer
لغة الملف
انكليزي
نوع الملف
Book
تصنيف الكتاب
Mathematics and Statistics

This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis.


الكلمات المفتاحية: Mathematics and Statistics / Pseudodifferential analysis / Rankin-Cohen brackets / Representation theory / Anaplectic representation / Calculus / Partial differential equations