Representations of Clifford Algebras on Function Spaces on the Cantor Set

ÇELİK D., Kocak S., Ozdemir Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.21, no.1, pp.41-47, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 1
  • Publication Date: 2011
  • Doi Number: 10.1007/s00006-010-0235-7
  • Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.41-47
  • Keywords: Clifford algebra, representation, Cantor set
  • Anadolu University Affiliated: Yes

Abstract

We give a representation of the (infinite-dimensional) complex Clifford algebra on the Hilbert space of square-integrable complexvalued functions on the Cantor set.