Mapping properties for the Bargmann transform on modulation spaces

Abstract

We investigate mapping properties for the Bargmann transform and prove that this transform is isometric and bijective from modulation spaces to convenient Banach spaces of analytic functions.

Pre-version, 21 pages

Cited by in corpus (1)

• The Bargmann transform on a broad family of Banach spaces, with applications to Toeplitz and pseudo-differential operators