Operators on radial functions

Journal of Computational and Applied Mathematics

Volumn 73, Issue 1-2, 1996, Pages 257-270

  Schaback, Robert ^a   Wu, Z ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b FUDAN UNIVERSITY   (China)

Author keywords

Convolution; Fourier transform; Hankel transform; Radial basis functions

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL METHODS; FOURIER TRANSFORMS; MATHEMATICAL OPERATORS;

CONVOLUTION; EUCLIDEAN NORM; HANKEL TRANSFORM; MULTIVARIATE FOURIER TRANSFORMS; RADIAL BASIS FUNCTIONS; UNIVARIATE OPERATIONS;

FUNCTIONS;

EID: 0030571106     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(96)00047-7     Document Type: Article

References (9)

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3. M.A. Pinsky, N.K. Stanton and P.E. Trapa, Fourier series of radial functions in several variables, J. Funct. Anal. 116 (1993) 111-132.
4. R. Schaback, Creating surfaces from scattered data using radial basis functions, in: M. Daehlen, T. Lyche and L.L. Schumaker, Eds., Mathematical Methods for Curves and Surfaces (Vanderbilt University Press, Nashville, TN, 1995) 477-496.
5. E.M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, (Princeton University Press, Princeton, NJ, 1971).
6. S.E. Trione, On the Laplace transform of radial functions, Stud. Appl. Math. 85 (1991) 303-315.
7. H. Wendland, Piecewise polynomial, positive definite and compactly supported functions of minimal degree, Adv. Comput. Math. 4 (1995) 389-396.
8. Z. Wu, Multivariate compactly supported positive definite radial functions, Adv. Comput. Math. 4 (1995) 283-292.
9. Z. Wu, Characterization of positive definite radial functions, in: M. Daehlen, T. Lyche and L.L. Schumaker, Eds., Mathematical Methods for Curves and Surfaces (Vanderbilt University Press, Nashville, TN, 1995) 573-578.