4.5 Article

Weaving properties of generalized continuous frames generated by an iterated function system

Journal

JOURNAL OF GEOMETRY AND PHYSICS
Volume 110, Issue -, Pages 282-295

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.geomphys.2016.08.009

Keywords

Discrete frames; Continuous frames; Generalized continuous frames; Iterated function system; Weaving frames

Funding

  1. R & D Doctoral Research Programme, University of Delhi, Delhi, India [RC/2015/9677]
  2. CSIR, India [09/045(1352)/2014-EMR-I]

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In this paper, we present some classes of generalized continuous weaving frames. It is shown that if the sets of lower frame bounds of discrete frames for a Hilbert space are bounded below, then the corresponding generalized continuous frames are woven. Necessary and sufficient conditions for generalized continuous weaving frames generated by an iterated function system are given. (C) 2016 Elsevier B.V. All rights reserved.

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