EXPLICIT DUALITY FORMULAS FOR SYMPLECTIC AND ORTHOGONAL HECKE OPERATORS ON THETA SERIES OF POSITIVE QUADRATIC FORMS

DOI10.1070/SM1987v058n02ABEH003112zbMath0635.10021OpenAlexW2043688048MaRDI QIDQ3773955

V. G. Zhuravlev

Publication date: 1987

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1987v058n02abeh003112

zbMATH Keywords

symplectic grouporthogonal groupquadratic formstheta seriesHecke operatorscommutation formulasexplicit duality formulaemultiplicative arithmetic of representations of quadratic forms by formsRallis mapping

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (1)

Über den Kern der Thetaliftung. (On the kernel of the theta-lift)

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