Spaces of White Noise distributions: constructions, descriptions, applications. I
Abstract
The paper introduces a scale of spaces of test functions and associated distributions in White Noise Analysis. Special cases of this scale include Hida and Meyer-Yan triples. We give a characterization of the spaces considered in terms of analytic and growth properties of the corresponding S-transforms.
- Publication:
-
Reports on Mathematical Physics
- Pub Date:
- December 1993
- DOI:
- 10.1016/0034-4877(93)90003-W
- Bibcode:
- 1993RpMP...33..341K