In this paper, we derive the closed form of the Segal Bargmann transform (or the S-transform) of the Le vy functionals on L 2 (S$, 4) and show that S-transform is a unitary operator from L 2 (S$, 4) onto the space of Bargmann Segal analytic functions on L 2 (R 2 , \*), where d\*=dt u 2 d; 0 (u) and
The Generalized Segal–Bargmann Transform and Special Functions
✍ Scribed by Mark Davidson; Gestur Ólafsson
- Book ID
- 111569747
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 195 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0167-8019
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