Frames built on fractal sets

DOI10.1016/J.GEOMPHYS.2003.11.008zbMath1065.42029OpenAlexW2052398503MaRDI QIDQ1781410

K. Thirulogasanthar, Wael Bahsoun

Publication date: 27 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2003.11.008

zbMATH Keywords

Hilbert spacesframesIFSiterated function systems.

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fractals (28A80)

Related Items (4)

Necessary and sufficient conditions for discrete wavelet frames in \(\mathbb{C}^N\) ⋮ Sums of matrix-valued wave packet frames in L2(ℝd,ℂs× r) ⋮ Generalized weaving frames for operators in Hilbert spaces ⋮ Discrete frames on finite dimensional left quaternion Hilbert spaces

Cites Work

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• Continuous and discrete frames on Julia sets
• Foundations of time-frequency analysis
• Continuous frames in Hilbert space
• Finite normalized tight frames
• Equal-norm tight frames with erasures
• Coherent states, wavelets and their generalizations
• Painless nonorthogonal expansions
• Ten Lectures on Wavelets
• Entropy computing via integration over fractal measures
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
• Quantized frame expansions with erasures

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