Schempp, W.
Complex contour integral representation of cardinal spline functions - Providence, R.I. : American Mathematical Society, c1982 - 1 online resource (xiii, 109 p. : ill.) - Contemporary mathematics v. 7 10983627 .
Includes indexes.
Bibliography: p. 101106.
1. Cardinal Spline Functions ; 2. A Complex Contour Integral Representation of Basis Spline Functions (Compact Paths) ; 3. The Case of Equidistant Knots ; 4. Cardinal Exponential Spline Functions and Interpolants ; 5. Inversion of Laplace Transform ; 6. A Complex Contour Integral Representation of Cardinal Exponential Spline Functions (NonCompact Paths) ; 7. A Complex Contour Integral Representation of EulerFrobenius Polynomials (NonCompact Paths) ; 8. Cardinal Exponential Spline Interpolants of Higher Order ; 9. Convergence Behaviour of Cardinal Exponential Spline Interpolants ; 10. Divergence Behaviour of Polynomial Interpolants on Compact Intervals (The MerayRunge Phenomenon) ; 11. Cardinal Logarithmic Spline Interpolants ; 12. Inversion of Mellin Transform ; 13. A Complex Contour Integral Representation of Cardinal Logarithmic Spline Interpolants (NonCompact Paths) ; 14. Divergence Behaviour of Cardinal Logarithmic Spline Interpolants (The NewmanSchoenberg Phenomenon) ; 15. Summary and Concluding Remarks ; References ; Subject Index ; Author Index
9780821875933 (online)
Integral representations
Integral transforms
Spline theory
Complex contour integral representation of cardinal spline functions - Providence, R.I. : American Mathematical Society, c1982 - 1 online resource (xiii, 109 p. : ill.) - Contemporary mathematics v. 7 10983627 .
Includes indexes.
Bibliography: p. 101106.
1. Cardinal Spline Functions ; 2. A Complex Contour Integral Representation of Basis Spline Functions (Compact Paths) ; 3. The Case of Equidistant Knots ; 4. Cardinal Exponential Spline Functions and Interpolants ; 5. Inversion of Laplace Transform ; 6. A Complex Contour Integral Representation of Cardinal Exponential Spline Functions (NonCompact Paths) ; 7. A Complex Contour Integral Representation of EulerFrobenius Polynomials (NonCompact Paths) ; 8. Cardinal Exponential Spline Interpolants of Higher Order ; 9. Convergence Behaviour of Cardinal Exponential Spline Interpolants ; 10. Divergence Behaviour of Polynomial Interpolants on Compact Intervals (The MerayRunge Phenomenon) ; 11. Cardinal Logarithmic Spline Interpolants ; 12. Inversion of Mellin Transform ; 13. A Complex Contour Integral Representation of Cardinal Logarithmic Spline Interpolants (NonCompact Paths) ; 14. Divergence Behaviour of Cardinal Logarithmic Spline Interpolants (The NewmanSchoenberg Phenomenon) ; 15. Summary and Concluding Remarks ; References ; Subject Index ; Author Index
9780821875933 (online)
Integral representations
Integral transforms
Spline theory