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Introduction

Part of the Pseudo-Differential Operators book series (PDO, volume 1)

Abstract

Let ×(12) be the unique even non-trivial Dirichlet character mod 12, and let ×(4) be the unique (odd) non-trivial Dirichlet character mod 4. Consider on the line the distributions
$$ \begin{gathered} \mathfrak{d}_{even} \left( x \right) = \sum\limits_{m \in \mathbb{Z}} {\chi ^{\left( {12} \right)} \left( m \right)\delta \left( {x - \frac{m} {{\sqrt {12} }}} \right),} \hfill \\ \mathfrak{d}_{odd} \left( x \right) = \sum\limits_{m \in \mathbb{Z}} {\chi ^{\left( 4 \right)} \left( m \right)\delta \left( {x - \frac{m} {2}} \right).} \hfill \\ \end{gathered} $$
(1.1)

Keywords

Coherent State Modular Form Homogeneous Space Eisenstein Series Automorphic Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2008

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