On R-duals of type III in Hilbert spaces

Hartmut Führ; Jahangir Cheshmavar; Ali Akbarnia

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arXiv · 1610.06394

On R-duals of type III in Hilbert spaces

Hartmut Führ·Jahangir Cheshmavar·Ali Akbarnia

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Abstract

Following work by Casazza, Kutyniok and Lammers, and extensions by Stoeva and Christensen, we provide some novel characterizations of R-dual sequences of type III in Hilbert spaces. We systematically extend the construction procedure by basing it on a choice of an antiunitary involution. For certain classes of R-duals of type III, we derive a representation of the associated frame operator in terms of spectral measures.

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BibTeX RIS

Hartmut Führ, Jahangir Cheshmavar, Ali Akbarnia. 2016-10-20. On R-duals of type III in Hilbert spaces. https://arxiv.org/abs/1610.06394

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