Wavelet frame operators and admissible frames

DOI10.1142/S1793557121501606zbMath1482.42076OpenAlexW3107739591MaRDI QIDQ5013449

T. C. Easwaran Nambudiri, Krishnan Parthasarathy

Publication date: 30 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121501606

zbMATH Keywords

wavelet framewavelet frame operatoradmissible frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Cites Work

• A characterisation of Weyl-Heisenberg frame operators
• A basis theory primer.
• Generalised Weyl-Heisenberg frame operators
• Wavelet sets in \(\mathbb{R}^ n\)
• Bessel sequences, wavelet frames, duals and extensions
• Extensions of Bessel sequences to dual pairs of frames
• The wavelet transform, time-frequency localization and signal analysis
• Wandering vectors for unitary systems and orthogonal wavelets
• Frames, bases and group representations
• An introduction to frames and Riesz bases
• Lattice tiling and the Weyl-Heisenberg frames

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