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008 170212s2015 gw | s |||| 0|eng d
020 _a9783319186573
_9978-3-319-18657-3
024 7 _a10.1007/978-3-319-18657-3
_2doi
035 _ato000559885
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.724
_223
100 1 _aUnterberger, André.
_eauthor.
_9331542
245 1 0 _aPseudodifferential Operators with Automorphic Symbols
_helectronic resource
_cby André Unterberger.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2015.
300 _aX, 202 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aPseudo-Differential Operators, Theory and Applications,
_x2297-0355 ;
_v11
505 0 _aIntroduction -- 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 _aThe 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 _amathematics.
_9566183
650 0 _aOperator theory.
_9566350
650 0 _aNumber theory.
_9566229
650 1 4 _aMathematics.
_9566184
650 2 4 _aOperator Theory.
_9566351
650 2 4 _aNumber Theory.
_9566230
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aPseudo-Differential Operators, Theory and Applications,
_9333907
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-18657-3
912 _aZDB-2-SMA
999 _c414923