Concepedia

Explicit formulas for reproducing kernels of generalized Bargmann spaces on Cn

Nour Eddine Askour, Ahmed Intissar, Zouhaı̈r Mouayn

Journal of Mathematical Physics · 2000 · 40 citations · 7 references

DOI

Concepts

Abstract

We introduce a class of generalized Bargmann spaces on Cn for which we establish explicit formulas of their reproducing kernels. Some applications of the obtained formulas are given.

References

7

On a Hilbert space of analytic functions and an associated integral transform part I

V. Bargmann · Communications on Pure and Applied Mathematics · 1961 · 1.9K citations

, , +7

General concept of quantization

F. A. Berezin · Communications in Mathematical Physics · 1975 · 889 citations

, , +10

Hankel Forms and the Fock Space

Svante Janson, Jaak Peetre, Richard Rochberg · Revista Matemática Iberoamericana · 1987 · 231 citations · Full text

, , +11

Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemannian manifold

Ichirō Shigekawa · Journal of Functional Analysis · 1987 · 77 citations

, , +16

Spherical harmonic expansion of the Poisson-Szegő kernel for the ball

Gerald B. Folland · Proceedings of the American Mathematical Society · 1975 · 57 citations · Full text

, , +9