Quantization and Arithmetic

• Main Author: Unterberger, André (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2008.
• Series: Pseudo-Differential Operators, Theory and Applications ; 1
• Subjects: Mathematics.; Topological groups.; Lie groups.; Operator theory.; Number theory.; Physics.; Topological Groups, Lie Groups.; Number Theory.; Mathematical Methods in Physics.; Operator Theory.

(12) (4) Let ? be the unique even non-trivial Dirichlet character mod 12, and let ? be the unique (odd) non-trivial Dirichlet character mod 4. Consider on the line the distributions m (12) ? d (x)= ? (m)? x? , even 12 m?Z m (4) d (x)= ? (m)? x? . (1.1) odd 2 m?Z 2 i?x UnderaFouriertransformation,oru...

Table of Contents:

• Weyl Calculus and Arithmetic
• Quantization
• Quantization and Modular Forms
• Back to the Weyl Calculus.