Some properties of the Bergman kernel function
David Bell (1969)
Compositio Mathematica
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Displaying similar documents to “Some remarks on Poincaré series”
Some properties of the Bergman kernel function
Nonfactorization theorems for Hardy and Bergman spaces on bounded symmetric domains
Tomasz Wolniewicz (1987)
Studia Mathematica
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From pseudodifferential analysis to modular form theory
André Unterberger (1999)
Journées équations aux dérivées partielles
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Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.
Eisenstein series and Poincaré series for mixed automorphic forms.
Min Ho Lee (2000)
Collectanea Mathematica
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Mixed automorphic forms generalize elliptic modular forms, and they occur naturally as holomorphic forms of the highest degree on families of abelian varieties parametrized by a Riemann surface. We construct generalized Eisenstein series and Poincaré series, and prove that they are mixed automorphic forms.
The decomposition of
Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Period invariants of Hilbert modular forms, II
Michael Harris (1994)
Compositio Mathematica
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Periods of integrals for
Stephen S. Kudla (1983)
Compositio Mathematica
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Nonvanishing of automorphic L-functions at special points
Zhao Xu (2014)
Acta Arithmetica
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At some special points, we establish a nonvanishing result for automorphic L-functions associated to the even Maass cusp forms in short intervals by using the mollification technique.