Group theoretic and geometric properties of multivariable Fourier series

zbMath0797.42019MaRDI QIDQ1311333

Palle E. T. Jorgensen, Steen Pedersen

Publication date: 26 January 1994

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceorthogonal basisspectral setsmultivariable Fourier series

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) General harmonic expansions, frames (42C15) Fourier series and coefficients in several variables (42B05) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Summability and bases in topological vector spaces (46A35)

Related Items (14)

Spectral sets and factorizations of finite abelian groups ⋮ Harmonic analysis of fractal measures ⋮ Analysis of orthogonality and of orbits in affine iterated function systems ⋮ A class of Gaussian processes with fractional spectral measures ⋮ Hilbert spaces of distributions having an orthogonal basis of exponentials ⋮ Duality properties between spectra and tilings ⋮ Orthogonal exponentials, translations, and Bohr completions ⋮ Nonuniform multiresolution analyses and spectral pairs ⋮ Dense analytic subspaces in fractal \(L^2\)-spaces ⋮ Orthonormal bases of exponentials for the \(n\)-cube ⋮ Probability and Fourier duality for affine iterated function systems ⋮ Iterated function systems, Ruelle operators, and invariant projective measures ⋮ Wavelets, tiling, and spectral sets ⋮ Spectral pairs in Cartesian coordinates

This page was built for publication: Group theoretic and geometric properties of multivariable Fourier series