Period Functions for Maass Wave Forms and Cohomology (Memoirs of the American Mathematical Society) - Image 1

£79.95

American Mathematical Society Period Functions for Maass Wave Forms and Cohomology (Memoirs of the American Mathematical Society)

Name: Period Functions for Maass Wave Forms and Cohomology (Memoirs of the American Mathematical Society)
Brand: American Mathematical Society
Price: 79.95 GBP
Availability: InStock

Mathematical Theory

Price History & Forecast

Last 32 days • 32 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 32 days • 1 price levels

Days at Price

Price Analysis

Most common price: £80 (32 days, 100.0%)

Price range: £80 - £80

Price levels: 1 different prices over 32 days

Description

Product Description The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups $\Gamma\subset\mathrm{PSL}_2({\mathbb{R}})$. In the case that $\Gamma$ is the modular group $\mathrm{PSL}_2({\mathbb{Z}})$ this gives a cohomological framework for the results in Period functions for Maass wave forms. I, of J. Lewis and D. Zagier in Ann. Math. 153 (2001), 191-258, where a bijection was given between cuspidal Maass forms and period functions. The authors introduce the concepts of mixed parabolic cohomology group and semi-analytic vectors in principal series representation. This enables them to describe cohomology groups isomorphic to spaces of Maass cusp forms, spaces spanned by residues of Eisenstein series, and spaces of all $\Gamma$-invariant eigenfunctions of the Laplace operator. For spaces of Maass cusp forms the authors also describe isomorphisms to parabolic cohomology groups with smooth coefficients and standard cohomology groups with distribution coefficients. They use the latter correspondence to relate the Petersson scalar product to the cup product in cohomology. About the Author R. Bruggeman, Mathematisch Instituut, Universiteit Utrecht, The Netherlands. J. Lewis, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA. D. Zagier, MPI for Mathematics, Bonn, Germany, and College de France, Paris, France.

Product Specifications

Brand: American Mathematical Society
Format: Paperback
ASIN: 1470414074
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Theory
Domain: Amazon UK
Release Date: 30 August 2015
Listed Since: 18 June 2015

Barcode

No barcode data available

American Mathematical Society Period Functions for Maass Wave Forms and Cohomology (Memoirs of the American Mathematical Society)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

Homology of Normal Chains and Cohomology of Charges (Memoirs of the American Mathematical Society)

Harmonic Analysis on Commutative Spaces (Mathematical Surveys & Monographs)

Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields (Memoirs of the American Mathematical Society)

Harmonic Analysis on Reductive, Sporadic Groups (Contemporary Mathematics)

Modular Forms: A Classical Approach (Graduate Studies in Mathematics)

A Study of Singularities on Rational Curves Via Syzygies (Memoirs of the American Mathematical Society)

Rigid Character Groups, Lubin-Tate Theory, and $( arphi ,Gamma )$-Modules (Memoirs of the American Mathematical Society)

Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions: 12 (De Gruyter Expositions in Mathematics, 12)

Eisenstein Cohomology for GLN and the Special Va – (AMS–203) (Annals of Mathematics Studies, 203)

Flat Rank Two Vector Bundles on Genus Two Curves (Memoirs of the American Mathematical Society)

Potential Theory on Infinite-Dimensional Abelian Groups: 21 (De Gruyter Studies in Mathematics, 21)

Zeta Functions Of Reductive Groups And Their Zeros (Algebraic Geometry Algebraic T)

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities (Memoirs of the American Mathematical Society)

Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Springer Monographs in Mathematics)

De Gruyter Holomorphic Functions of Several Variables - Math Book

Affine Flag Varieties and Quantum Symmetric Pairs (Memoirs of the American Mathematical Society)

Algebras, Rings and Modules: Lie Algebras and Hopf Algebras (Mathematical Surveys and Monographs)

The Structure of Compact Groups: A Primer for Students - A Handbook for the Expert (De Gruyter Studies in Mathematics, 25)

Morse Homology with Differential Graded Coefficients: 360 (Progress in Mathematics, 360)

The Riemann Zeta-Function: 5 (De Gruyter Expositions in Mathematics, 5)

Dimensions of Affine Deligne-Lusztig Varieties: A New Approach Via Labeled Folded Alcove Walks and Root Operators (Memoirs of the American Mathematical Society)