Equivalence of the Gelfand–Shilov Spaces

✍ Scribed by Jaeyoung Chung; Soon-Yeong Chung; Dohan Kim

• Book ID: 102591308
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 155 KB
• Volume: 203
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1996.0414

✦ Synopsis

We prove that there is a one to one correspondence between the Gelfand᎐Shilov space W ⍀ of type W and the space S N p of generalized type S. As an application

we prove the equality W l W ⍀ s W ⍀ , which is a generalization of the equality M M s s Ž S lS sS found by I. M. Gelfand and G. E. Shilov ''Generalized Functions, II, r r .