St. Petersburg Mathematical Journal, 6. cilt,4-6. sayılarAmerican Mathematical Society, 1995 |
Kitabın içinden
49 sonuçtan 1-3 arası sonuçlar
Sayfa 1183
... Fourier expansions of modular forms . Since F ( Z + 1 ) = F ( Z ) for any IE L1 , one can construct a Fourier expansion of F ( Z ) with respect to the variable Z : where F ( Z ) = = Σ f ( l ) exp ( 2ni'l S1Z ) , lЄÎ1 , il ЄXN + 2 S1 [ e ] ...
... Fourier expansions of modular forms . Since F ( Z + 1 ) = F ( Z ) for any IE L1 , one can construct a Fourier expansion of F ( Z ) with respect to the variable Z : where F ( Z ) = = Σ f ( l ) exp ( 2ni'l S1Z ) , lЄÎ1 , il ЄXN + 2 S1 [ e ] ...
Sayfa 1187
... Fourier expansions at infinity . Ph ( t ) = Σ r > 0 2r = -qSo [ h ] mod 2qm fn ( r ) = f ( fn ( r ) exp ( 2ni TM m ) , 2r + q So [ h ] 2qm h ) ; here f ( n , l ) are the Fourier coefficients of the Jacobi form ( t , 3 ) and q is the ...
... Fourier expansions at infinity . Ph ( t ) = Σ r > 0 2r = -qSo [ h ] mod 2qm fn ( r ) = f ( fn ( r ) exp ( 2ni TM m ) , 2r + q So [ h ] 2qm h ) ; here f ( n , l ) are the Fourier coefficients of the Jacobi form ( t , 3 ) and q is the ...
Sayfa 1197
... Fourier expansion contains only Fourier coefficients with singular indices , i.e. , - fr ( n , l , m ) 0 ( or fø ( n , l ) ‡ 0 ) ⇒ 2nm – So [ l ] = 0 . We may give another equivalent definition : a modular form F ( w , 3 , t ) is ...
... Fourier expansion contains only Fourier coefficients with singular indices , i.e. , - fr ( n , l , m ) 0 ( or fø ( n , l ) ‡ 0 ) ⇒ 2nm – So [ l ] = 0 . We may give another equivalent definition : a modular form F ( w , 3 , t ) is ...
İçindekiler
THE THEORY OF DECREASING SEQUENCES | 706 |
1 Main definitions and terminology | 712 |
4 Universal models | 719 |
Telif Hakkı | |
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algebra analytic arbitrary assume asymptotic automorphic boundary conditions boundary value C*-algebras c₁ Cauchy problem coefficients composition series cone consider constant convex Corollary corresponding decreasing sequence defined definition denote differential Dirac operator domain dyadic sequence eigenvalues elements English transl entropy ergodic estimate exists finite follows formula function groupoid h₁ Hilbert space Hölder homogeneous implies inequality integral invariant irreducible representations isomorphic Jacobi K3 surfaces kernel lattice Lemma linear mapping Mathematical matrix measurable partitions metric modular forms moduli moduli spaces Moreover neighborhood obtain operator orbit orthogonal orthogonal group parabolic equations polynomials proof of Theorem Proposition proved quantum relation respect satisfying selfadjoint semigroup smooth solution solvability Soviet Math space spectrum Subsection subspace theory Toeplitz operators topology vector y₁ zero