Woven Continuous Frames in Hilbert Spaces

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DOI: https://doi.org/10.28924/2291-8639-23-2025-308
Published: Nov 28, 2025
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Hafida Massit, Maryam G. Alshehri, Mohamed Rossafi, Woven Continuous Frames in Hilbert Spaces, Int. J. Anal. Appl., 23 (2025), 308.

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Hafida Massit, Maryam G. Alshehri, Mohamed Rossafi

Abstract

In this present paper we introduce weaving Hilbert space frames in the continuous case, we propose new approaches for manufacturing pairs of woven continuous frames, and we obtain new properties in continuous weaving frame theory related to dual frames. Also, we provide some approaches for constructing continuous weaving frames by using small perturbations. These methods not only enhance the understanding of frame theory but also open avenues for practical applications in signal processing and data representation. Future research may further explore the implications of these findings in more complex systems and their potential interdisciplinary benefits.

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