Smooth orthonormal basis for \(L_2(\mathbb{R}^2)\) using smooth projections on \(L_2(\mathbb{R}^2)\) associated with rectangles in \(\mathbb{R}^2\)

DOI10.1007/s41478-022-00488-wzbMath1514.42009OpenAlexW4296643228MaRDI QIDQ6040569

S. Pitchai Murugan, G. P. Youvaraj

Publication date: 19 May 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00488-w

zbMATH Keywords

orthogonal direct sumsmooth orthonormal basissmooth projection

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Completeness of sets of functions in one variable harmonic analysis (42A65)

Cites Work

• Riesz basis of Coifman and Meyer's local sine and cosine type
• Smooth bump functions and the geometry of Banach spaces. A brief survey
• Smooth orthogonal projections on Riemannian manifold
• Smooth orthogonal projections on sphere
• Smooth projections and the construction of smooth Parseval frames of shearlets
• A FAMILY OF NONSEPARABLE SMOOTH COMPACTLY SUPPORTED WAVELETS
• Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$
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