Unconditional Basis in Bargmann Space–New Proof of Gröcheni–Walnut Theorem

✍ Scribed by Piotr Wojdyłło

• Publisher: John Wiley and Sons
• Year: 2001
• Tongue: English
• Weight: 178 KB
• Volume: 221
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/1522-2616(200101)221:1<169::aid-mana169>3.0.co;2-l

✦ Synopsis

In 1992 K. Gröchenig and D. Walnut [12]

constructed an explicit unconditional basis in Bargmann spaces. The author gives a short and self -contained proof of this theorem. It omits the notion of Zak transform used originally in many parts of the proof. The geometric structure of the problem is revealed.