Complex contour integral representation of cardinal spline functions

By: Schempp, WMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 7Publication details: Providence, R.I. : American Mathematical Society, c1982Description: 1 online resource (xiii, 109 p. : ill.)ISBN: 9780821875933 (online)Subject(s): Integral representations | Integral transforms | Spline theoryOnline resources: Click here to access online
Contents:
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
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electronic book electronic book ICTS
Link to resource Accessible Online EBK21006
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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

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