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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.33 No.3

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Wavelet Amenable Frames in Separable Hilbert Spaces

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2026, v.33 no.3, pp.241-248
https://doi.org/10.7468/jksmeb.2026.33.3.241
Rishi Dev (Kannur University)
Easwaran Nambudiri T C (Government Brennen College)
Muraleedharan T K (Kannur University)
Rishi, D. , Easwaran, N. T. C. , & Muraleedharan, T. K. (2026). Wavelet Amenable Frames in Separable Hilbert Spaces, 33(3), 241-248, https://doi.org/10.7468/jksmeb.2026.33.3.241

Abstract

We introduce wavelet amenable frames which are generated by the cyclic actions of a pair of special kind of operators on a single vector in separable Hilbert spaces and discuss some of its aspects. Frame operators of these frames are characterized. A necessary and sufficient condition for a pair of wavelet amenable frames to become canonical dual frames to each other is also obtained by observing an intertwining property of the frame operator.

keywords
wavelet frames, frame operator, wavelet amenable frames, dual frames, intertwining operator

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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