On the Laplace transform of functionals in the Bergman weight space of entire functions in \({\mathbb{C}}^n\)

zbMath0985.46012MaRDI QIDQ1595539

V. V. Napalkov, S. V. Popenov

Publication date: 13 February 2001

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace transformequivalent normsentire functions of several variablesweighted Fourier-Laplace transformsweight Bergman space

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Laplace transform (44A10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Holomorphic functions of several complex variables (32A10)

Related Items (5)

On a space of entire functions rapidly decreasing on \(\mathbb R^n\) and its Fourier transform ⋮ On Fourier transformation of a class of entire functions ⋮ On a certain class of entire functions ⋮ On a Hilbert space of entire functions ⋮ On a space of entire functions rapidly decreasing on the real axis and its Fourier transform

This page was built for publication: On the Laplace transform of functionals in the Bergman weight space of entire functions in \({\mathbb{C}}^n\)