Positive Definite Functions on Products via Fourier Transforms: Old and New

DOI10.1080/01630563.2022.2053990zbMath1490.42012OpenAlexW4220740174MaRDI QIDQ5080255

Valdir A. Menegatto, Claudemir P. Oliveira

Publication date: 31 May 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2022.2053990

zbMATH Keywords

Fourier transformspositive definitenessstationarityBochner's theoremSection functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Positive definite functions in one variable harmonic analysis (42A82) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Positive definite functions on groups, semigroups, etc. (43A35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• From Schoenberg coefficients to Schoenberg functions
• On positive positive-definite functions and Bochner's theorem
• Characterization theorems for the Gneiting class of space-time covariances
• Propagation of regularity and positive definiteness: a constructive approach
• Schoenberg's theorem for positive definite functions on products: a unifying framework
• A unified view of space-time covariance functions through Gelfand pairs
• Towards a complete picture of stationary covariance functions on spheres cross time
• Universal kernels which are continuous on the diagonal
• Positive-definiteness, integral equations and Fourier transforms
• Positive definite functions on spheres
• A Course in Abstract Harmonic Analysis
• Nonseparable, Stationary Covariance Functions for Space–Time Data
• Positive Definite Functions and Operator Inequalities
• Classes of Nonseparable, Spatio-Temporal Stationary Covariance Functions
• Positive definite functions on products of metric spaces via generalized Stieltjes functions
• Positive Definiteness on Products of Compact Two-point Homogeneous Spaces and Locally Compact Abelian Groups
• Fundamental Sets of Functions on Locally Compact Abelian Groups
• Scattered Data Approximation