Radial positive definite functions and Schoenberg matrices with negative eigenvalues

DOI10.1090/tran/6876zbMath1381.42014arXiv1502.07179OpenAlexW2963743861MaRDI QIDQ4588206

Mark M. Malamud, Leonid L. Oridoroga, Leonid B. Golinskii

Publication date: 1 November 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07179

zbMATH Keywords

hypergeometric functionsHankel transformBessel functionspositive definite functionsnegative eigenvaluesSchoenberg kernels

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Positive definite functions in one variable harmonic analysis (42A82)

Related Items (2)

Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields ⋮ Representations of hypergeometric functions for arbitrary parameter values and their use

Cites Work

• Schoenberg matrices of radial positive definite functions and Riesz sequences of translates in \(L^2(\mathbb R^n)\)
• Continuation of Hermitian positive definite functions and related questions
• Metric spaces and completely monontone functions
• Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions
• Convolution roots of radial positive definite functions with compact support
• The Classical Moment Problem and Some Related Questions in Analysis
• Approximations for the Bessel and Airy functions with an explicit error term
• Metric Spaces and Positive Definite Functions
• On positive definiteness of some functions
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