Cargando…

Pseudodifferential Operators with Automorphic Symbols

The main results of this book combine pseudodifferential analysis with modular form and L-function theory, with the help of explicit spectral-theoretic calculations. The starting point is a notion of modular distribution in the plane, which will be new to most readers and which, under the Radon tran...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Unterberger, André (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edición:1st ed. 2015.
Colección:Pseudo-Differential Operators, Theory and Applications, 11
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-18657-3
003 DE-He213
005 20220114194947.0
007 cr nn 008mamaa
008 150622s2015 sz | s |||| 0|eng d
020 |a 9783319186573  |9 978-3-319-18657-3 
024 7 |a 10.1007/978-3-319-18657-3  |2 doi 
050 4 |a QA329-329.9 
072 7 |a PBKF  |2 bicssc 
072 7 |a MAT037000  |2 bisacsh 
072 7 |a PBKF  |2 thema 
082 0 4 |a 515.724  |2 23 
100 1 |a Unterberger, André.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Pseudodifferential Operators with Automorphic Symbols  |h [electronic resource] /  |c by André Unterberger. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2015. 
300 |a X, 202 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Pseudo-Differential Operators, Theory and Applications,  |x 2297-0363 ;  |v 11 
505 0 |a Introduction -- Basic modular distributions -- From the plane to the half-plane -- A short introduction to the Weyl calculus -- Composition of joint eigenfunctions of (...) and (...) -- The sharp composition of modular distributions -- The operator with symbol (...) -- from non-holomorphic to holomorphic modular forms -- Index. 
520 |a The main results of this book combine pseudodifferential analysis with modular form and L-function theory, with the help of explicit spectral-theoretic calculations. The starting point is a notion of modular distribution in the plane, which will be new to most readers and which, under the Radon transformation, relates to the classical notion of non-holomorphic modular form. Holomorphic modular forms are also briefly considered, within a general scheme that addresses quantization theory and elementary but novel representation-theoretic concepts. 
650 0 |a Operator theory. 
650 0 |a Number theory. 
650 1 4 |a Operator Theory. 
650 2 4 |a Number Theory. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319186580 
776 0 8 |i Printed edition:  |z 9783319186566 
830 0 |a Pseudo-Differential Operators, Theory and Applications,  |x 2297-0363 ;  |v 11 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-18657-3  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)