000			02105nam a22003135i 4500
001			65618
005			20210616154303.0
010			_a978-3-0348-0166-9 _dcompra
090			_a65618
100			_a20150401d2011 k||y0pory50 ba
101			_aeng
102			_aCH
200			_aPseudodifferential analysis, automorphic distributions in the plane and modular forms _bDocumento electrónico _fAndré Unterberger
210			_aBasel _cSpringer _d2011
215			_aVIII, 300 p.
225			_aPseudo-Differential Operators Theory and Applications
300			_aColocação: Online
303			_aPseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane Π 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 Π 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 Î SL(2;Z), of some initial function, say in S(R2), is analyzed in detail. On Π, 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. The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis.
606			_927963 _aOperadores pseudo-diferenciais
606			_936407 _aFunções automórficas
606			_99545 _aEquações diferenciais parciais _xSoluções numéricas
680			_aQA329.7
700			_932157 _aUnterberger _bAndré
801			_aPT _gRPC
856			_uhttp://dx.doi.org/10.1007/978-3-0348-0166-9
942			_2lcc _cF _n0