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Pseudodifferential Operators with Automorphic Symbols

Pseudodifferential Operators with Automorphic Symbols

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783319186566
Condition
New
Product Description

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.

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