On vector-valued automorphic forms on bounded symmetric domains

DOI10.1007/s10455-018-9632-2zbMath1416.32009arXiv1806.03779OpenAlexW2964234837MaRDI QIDQ1740674

Tatyana Barron, Nadia Alluhaibi

Publication date: 2 May 2019

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03779

zbMATH Keywords

Poincaré seriesBergman kernelspanning setbounded symmetric domainscanonical bundleholomorphic automorphic forms

Mathematics Subject Classification ID

Global differential geometry (53C99) Automorphic functions in symmetric domains (32N15)

Related Items (3)

Closed geodesics and pluricanonical sections on ball quotients ⋮ On vector-valued automorphic forms on bounded symmetric domains ⋮ Quantization and isotropic submanifolds

Cites Work

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• Semiclassical states associated with isotropic submanifolds of phase space
• Szegő kernels and Poincaré series
• Closed geodesics and pluricanonical sections on ball quotients
• Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
• A dimension formula for a certain space of automorphic forms of \(\text{SU}(p,1)\)
• Closed geodesics, periods and arithmetic of modular forms
• Harmonic differentials and closed geodesics on a Riemann surface
• Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula
• On vector-valued automorphic forms on bounded symmetric domains
• Theta functions defined by geodesic cycles in quotients of SU(p,1)
• Legendrian distributions with applications to relative Poincaré series
• Quantization and isotropic submanifolds
• Stability functions
• Legendrian tori and the semi-classical limit
• Exponential estimate for the asymptotics of Bergman kernels
• Holomorphic vector bundles on a compact Riemann surface
• Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces
• Generators for modules of vector-valued Picard modular forms
• Matrix-valued Berezin-Toeplitz quantization
• A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
• Eichler-Shimura Homology, Intersection Numbers and Rational Structures on Spaces of Modular Forms
• Abelian Lagrangian algebraic geometry
• THE FORMULA FOR THE DIMENSION OF THE SPACES OF VECTOR-VALUED HOLOMORPHIC AUTOMORPHIC FORMS ON THE UNITARY GROUP <i>SU</i> (1,<i>p</i>)
• Livshitz theorem for the unitary frame flow
• Vector-valued modular forms on a three-dimensional ball
• Spaces of Holomorphic Functions in the Unit Ball
• Quantization and automorphic forms
• Poincaré series on bounded symmetric domains
• Introductory Lectures on Automorphic Forms
• On the Asymptotic Evaluation of a Class of Multiple Integrals Involving a Parameter

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