Complex creation operator and planar automorphic functions
From MaRDI portal
Publication:6071909
DOI10.1007/s11040-023-09471-8zbMath1524.11095OpenAlexW4388118005MaRDI QIDQ6071909
Publication date: 29 November 2023
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11040-023-09471-8
Modular and automorphic functions (11F03) Other generalizations of analytic functions (including abstract-valued functions) (30G30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions
- Analytische Fortsetzung der Eisensteinreihen zu den parabolischen Spitzen von Grenzkreisgruppen erster Art
- Analytic and arithmetic properties of the \((\Gamma ,\chi )\)-automorphic reproducing kernel function and associated Hermite-Gauss series
- Concrete \(L^2\)-spectral analysis of a bi-weighted \(\Gamma \)-automorphic twisted Laplacian
- S-polyregular Bargmann spaces
- On a novel class of polyanalytic Hermite polynomials
- Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
- Explicit formulas for reproducing kernels of generalized Bargmann spaces on Cn
- Coherent state transforms attached to generalized Bargmann spaces on the complex plane
- Concrete description of the (Г, χ)-theta Fock-Bargmann space for rank one in high dimension
- A class of nonanalytic automorphic functions
- Function Spaces of Polyanalytic Functions
- True Bargmann transforms for rank one automorphic functions associated with Landau levels
- Construction of concrete orthonormal basis for (L2, Γ, χ)-theta functions associated to discrete subgroups of rank one in $({\mathbb {C}},+)$(C,+)
- Landau automorphic functions on Cn of magnitude ν