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Unterberger A. — Quantization and Non-Holomorphic Modular Forms |
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Предметный указатель |
-vectors of 12
Analytic continuation of zeta series in two variables 108 112
Asymptotics of composition 189
Automorphic distribution 126
Automorphic function 17
Bilinear operations 3 39
Bilinear operations , applied to Eisenstein distr. 69
Bilinear operations , transferred to 71 73
Cohen products 1
Coherent states 121
Composition of homogeneous symbols 35 40
Composition of symbols 4 40 184 185
Continued fractions 215
Cusp forms 3 51 61
Dirac's comb 163
Dirichlet series with the 's as poles 151 152
Distribution space 14
Distribution space , modular distribution 17
Eisenstein series 5 19 61
Eisenstein series, distribution 17 19
Euler operator 26
Fourier coefficients and -norm 62
Fourier coefficients as hyperfunctions 56
Fourier coefficients of Eisenstein distrib. 21
Fourier coefficients of forms 20
Generating series of cusp-forms 153
Generating series of cusp-forms, their Fourier coefficients 156
Generating series of cusp-forms, their polar parts 157 160
Hecke operators 7 70 132 173
Holomorphic discrete series 177
homogeneous functions 28
Horocyclic calculus 182
Hyperbolic distance 25
Hyperfunctions 46 56 64
Infinitesimal operators 11
Intertwining operator 13 22 29
Iwasawa decomposition 25
Kloosterman sums 91
| L-function 131 145
Lax — Phillips theory 194
Maass — Hecke forms 131
Mehler's formula 27
Metaplectic representation 119 179
Odd zeta series in two variables 95 112
p-adic calculations 168
Petersson space 48
Poisson bracket 73
Poisson bracket of Eisenstein series 111
Product of Eisenstein series 78
Product of Eisenstein series, continuous part of product 89
Product of Eisenstein series, continuous part of red. prod. 84
Product of Eisenstein series, discrete part of red. prod. 101
Quadratic fields 216
Radon (dual) transform 25
Radon in an -context 27
Radon transform 4 25
Rankin — Selberg unfolding method 66
Recovering Fourier coefficients of forms 66
Reduced Poisson bracket of Eisenstein series 111
Reduced product of Eisenstein series 80 82
Residues (cuspidal) 19
Residues of zeta series in two variables 141
Resolution of identity 121
Roelcke — Selberg expansion 5 50 61
Roelcke — Selberg expansion of Poisson bracket 145
Roelcke — Selberg expansion of product of Eisenstein series 89 133 138
Roelcke — Selberg expansion of reduced Poisson bracket 112
Roelcke — Selberg expansion of reduced product of Eisenstein series 84 101
Symbolic calculi 179
Symplectic Fourier transf. 26
Weber — Schafheitlin integral 46 72 88 105
Weyl calculus 33
Wigner function 121
Zeros of zeta function 97 101 108 151 152 157
Zeta series in two variables 91 108
Zeta series in two variables, link with Kloosterman sums 93
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