Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

Name: Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms
Brand: Springer Basel
SKU: 9783034801652
Price: 19551 HUF
Availability: InStock

Szerző: André Unterberger

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Basel

Elérhetőség: Beszállítói készleten

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Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theoris...

Információk a könyvről

Szerző

André Unterberger

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2011

oldal

300

EAN

9783034801652

ISBN

3034801653

Enbook ID

01438857

Kiadó

Springer Basel

Súly

525

Méretek

168 x 240 x 17

Teljes leírás

Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane to automorphic distribution theory in the plane. Spectral-theoretic questions are discussed in one or the other environment: in the latter one, the problem of decomposing automorphic functions in according to the spectral decomposition of the modular Laplacian gives way to the simpler one of decomposing automorphic distributions in R2 into homogeneous components. The Poincaré summation process, which consists in building automorphic distributions as series of g-transforms, for g E SL(2;Z), of some initial function, say in S(R2), is analyzed in detail. On , a large class of new automorphic functions or measures is built in the same way: one of its features lies in an interpretation, as a spectral density, of the restriction of the zeta function to any line within the critical strip. Several new ideas are far from being pushed to the end, and call for many possible generalizations, only hinted at.

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Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

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