Results 211 to 220 of about 7,594,968 (240)
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On Certain Functions With Positive Definite Hessian
The Annals of Mathematics, 1960If u = u(x, y) is a C" solution of rt - 82 = 1 in the whole E2, then u is a quadratic polynomial. It turns out that the neat proof of Nitsche can be extended to prove a generalization of this result to several variables. THEOREM. Let u = u(x1, - * *, xn) be a C" function on El.
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On Positive-Definite Functions
Proceedings of the London Mathematical Society, 1956openaire +1 more source
Positive Definite Functions on Separable Function Spaces
1996A notion of a separable function space is defined. It is proved that a positive definite function on the semigroup of the positive elements of a separable function space is the Laplace transform of a measure concentrated on the set of positive functionals.
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On Generalized Positive-Definite Functions
Proceedings of the London Mathematical Society, 1965openaire +2 more sources
Continuation of Radial Positive Definite Functions and Their Characterization
Fractal and Fractional, 2023Fethi Bouzeffour
exaly
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
Advances in Computational Mathematics, 1995Holger Wendland
exaly
On differentiability and analyticity of positive definite functions
Journal of Mathematical Analysis and Applications, 2011Jorge Buescu
exaly
Positive and Positive-Definite Generalized Functions
1964I.M. GEL'FAND, N.Ya. VILENKIN
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