TY  - BOOK
AU  - Unterberger,André
ED  - SpringerLink (Online service)
TI  - Pseudodifferential Operators with Automorphic Symbols
T2  - Pseudo-Differential Operators, Theory and Applications,
SN  - 9783319186573
AV  - QA329-329.9 
U1  - 515.724 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - mathematics
KW  - Operator theory
KW  - Number theory
KW  - Mathematics
KW  - Operator Theory
KW  - Number Theory
N1  - Introduction -- Basic modular distributions -- From the plane to the half-plane -- A short introduction to the Weyl calculus -- Composition of joint eigenfunctions of (...) and (...) -- The sharp composition of modular distributions -- The operator with symbol (...) -- from non-holomorphic to holomorphic modular forms -- Index
N2  - The main results of this book combine pseudodifferential analysis with modular form and L-function theory, with the help of explicit spectral-theoretic calculations. The starting point is a notion of modular distribution in the plane, which will be new to most readers and which, under the Radon transformation, relates to the classical notion of non-holomorphic modular form. Holomorphic modular forms are also briefly considered, within a general scheme that addresses quantization theory and elementary but novel representation-theoretic concepts
UR  - http://dx.doi.org/10.1007/978-3-319-18657-3
ER  -