Paley-Wiener-Schwartz Theorems on Quadratic CR Manifolds

Abstract

Given a quadratic CR manifold $\mathcal{M}$ embedded in a complex space, we study Paley-Wiener-Schwartz theorems for spaces of Schwartz functions and tempered distributions on $\mathcal{M}$.

22 Pages, no figures

References in corpus (4)

• Besov Spaces of Analytic Type: Interpolation, Convolution, Fourier Multipliers, Inclusions
• Bernstein Spaces on Siegel CR Manifolds
• Sampling in spaces of entire functions of exponential type in ${\mathbb{C}}^{n+1}$
• Carleson and Sampling measures on Bernstein spaces on Siegel CR Manifolds

Cited by in corpus (2)

• Boundedness of Bergman projectors on homogeneous Siegel domains
• On the Theory of Bergman Spaces on Homogeneous Siegel Domains