Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces

Dahlke, Stephan; Fornasier, Massimo; Rauhut, Holger ; Steidl, Gabriele und Teschke, Gerd (2007): Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces. In: Proceedings of the London Mathematical Society, Vol. 96, No. 2: pp. 464-506

Abstract

This paper is concerned with generalizations and specific applications of the coorbit space theory based on group representations modulo quotients, which has been developed quite recently. We show that the general theory applied to the affine Weyl–Heisenberg group gives rise to families of smoothness spaces that can be identified with α-modulation spaces.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Chair of Mathematics of Information Processing
• Subjects: 500 Science > 510 Mathematics
• ISSN: 00246115
• Language: English