Spirals in Hilbert space: with an application in information theory

DOI10.1016/j.exmath.2005.01.014zbMath1093.42010OpenAlexW1999764898MaRDI QIDQ556415

Bent Fuglede

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.exmath.2005.01.014

zbMATH Keywords

information theorynegative definite kernelhelixlogarithmic spiralJensen-Shannon kernelHilbert space embeddingSchoenberg theorem

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Groups and semigroups of linear operators (47D03) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Positive definite functions in one variable harmonic analysis (42A82) Measures of information, entropy (94A17) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Related Items

White noise space analysis and multiplicative change of measures, BETA DIVERGENCE AND KERNELS METHODS WITH SUPPORT VECTOR MACHINE (SVM), Unbounded graph-Laplacians in energy space, and their extensions, Reflection negative kernels and fractional Brownian motion

Cites Work

• On Helixes in Hilbert Space. I
• Metric Spaces and Positive Definite Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item