Strictly Hermitian positive definite functions

DOI10.1007/BF02789051zbMath1074.43004arXivmath/0404013MaRDI QIDQ2565886

Allan Pinkus

Publication date: 28 September 2005

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404013

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (15)

Strictly positive definite kernels on a product of circles ⋮ Conditionally strictly negative definite kernels ⋮ Strictly Positive-Definite Spike Train Kernels for Point-Process Divergences ⋮ On Lévy's Brownian motion and white noise space on the circle ⋮ Strictly positive definite kernels on the torus ⋮ Reduction problems and deformation approaches to nonstationary covariance functions over spheres ⋮ Spherical basis functions and uniform distribution of points on spheres ⋮ A study of certain class of strictly positives definite functions and applications ⋮ Strictly positive definite kernels on subsets of the complex plane ⋮ Convolution roots and differentiability of isotropic positive definite functions on spheres ⋮ Weighted composition operators on the Mittag-Leffler spaces of entire functions ⋮ Strictly positive definite functions on compact abelian groups ⋮ Characterization of strict positive definiteness on products of complex spheres ⋮ Strictly positive definite functions in \(\mathbb R^{d}\) ⋮ Matrix-valued positive definite kernels given by expansions: strict positive definiteness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive definite sequences and absolutely monotonic functions
• Équations exponentielles-polynômes et suites récurrentes linéaires. II. (Exponential polynomial equations and linear recurrence sequences. II)
• Separate analyticity and related subjects
• Strictly positive definite functions on a real inner product space
• Positive definite dot product kernels in learning theory
• Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse
• Functions that preserve families of positive semidefinite matrices
• Strictly positive definite functions on the complex Hilbert sphere
• Fonctions opérant sur les fonctions définies-positives
• Positive definite functions on spheres
• Criteria of Pólya type for radial positive definite functions
• Functions Operating on Positive Definite Matrices and a Theorem of Schoenberg
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Analytic Continuation for Functions of Several Complex Variables
• The Theory of Infinitely Divisible Matrices and Kernels
• Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of $C^n$
• Real Analytic Functions on Product Spaces and Separate Analyticity
• Theory of Reproducing Kernels
• Exponential diophantine equations

This page was built for publication: Strictly Hermitian positive definite functions