The main results of this book combine pseudo differential analysis
with modular form theory. The methods rely for the most part on
explicit spectral theory and the extended use of special functions.
The starting point is a notion of modular distribution in the
plane, which will be new to most readers and relates under the
Radon transformation to the classical one of modular form of the
non-holomorphic type. Modular forms of the holomorphic type are
addressed too in a more concise way, within a general scheme
dealing with quantization theory and elementary, but novel,
representation-theoretic concepts.
General
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