This is a new approach to the theory of non-holomorphicmodularforms based on...This is a new approach to the theory of non-holomorphic modular forms based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg...more
Projective Varieties andModularForms: Course Given at the University of Mary...Projective Varieties and Modular Forms: Course Given at the University of Maryland Spring 1970more
Alternative Pseudodifferential Analysis: With an Application to ModularFormsAlternative Pseudodifferential Analysis: With an Application to Modular Formsmore
This book now in its 2nd edition is devoted to the arithmetical theory of Sieg...This book now in its 2nd edition is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg...more
A small conference was held in September 1986 to discuss new applications of e...A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range fom...more
This monograph introduces two approaches to studying Siegel modularforms: the...This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space and the approach via representation theory on the symplectic group. By illustrating the...more
The central topic of this research monograph is the relation between p-adic mo...The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of...more
A self-contained exposition of the concept of mother body in potential theory ...A self-contained exposition of the concept of mother body in potential theory Intriguing numerical experiments lacking theoretical explanation A new class of complex polynomials orthogonal with respect to a non Lebesgue space type norm Optimal...more
Non-Linear Partial Differential Operators andQuantization Procedures: Proceed...Non-Linear Partial Differential Operators and Quantization Procedures: Proceedings of a Workshop Held at Clausthal Federal Republic of Germany 1981more
Due to the rapidly increasing need for methods of data compression quantizatio...Due to the rapidly increasing need for methods of data compression quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis) pattern...more
The present set of lecturenotes gives both a status report and a survey of re...The present set of lecture notes gives both a status report and a survey of recent advances for the most important quantization methods in the field theories for elementary particle physics. The first part of the book introduces light-cone...more
This volume presents a panorama of the diverse activities organized by V. Heie...This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at the CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which...more