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.
