A new function-valued inner product and corresponding function-valued frames inL2(0,∞)

DOI10.1080/03081087.2013.801968zbMath1319.46020OpenAlexW1969564653MaRDI QIDQ2926001

M. A. Fard, Mohammad Ali Dehghan

Publication date: 29 October 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.801968

zbMATH Keywords

function-valued factorable operatorfunction-valued framefunction-valued inner productfunction-valued orthonormal basis

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (7)

Multi-window dilation-and-modulation frames on the half real line ⋮ The formation and portraits of subspaceF_a-frames ⋮ Dilation-and-modulation systems on the half real line ⋮ Duality principles for \(F_a \)-frame theory in \(L^2 (\mathbb{R}_+ )\) ⋮ F_a-frame and Riesz sequences in L^2(ℝ_+) ⋮ Some identities and inequalities for \(F_a\)-frame sequences in \(L^2 (\mathbb{R}_+)\) ⋮ The equivalence of \(F_a\)-frames

Cites Work

• Unnamed Item
• Painless nonorthogonal expansions
• Ten Lectures on Wavelets
• Continuous and Discrete Wavelet Transforms
• An introduction to frames and Riesz bases

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