Complex contour integral representation of cardinal spline functions / [electronic resource] Walter Schempp.

By: Schempp, W. (Walter), 1938-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 7.Publication details: Providence, R.I. : American Mathematical Society, c1982Description: 1 online resource (xiii, 109 p. : ill.)ISBN: 9780821875933 (online)Subject(s): Spline theory | Integral transforms | Integral representationsAdditional physical formats: Complex contour integral representation of cardinal spline functions /DDC classification: 511/.42 LOC classification: QA224 | .S27Online resources: Contents | Contents
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 (Non-Compact Paths) 7. A Complex Contour Integral Representation of Euler-Frobenius Polynomials (Non-Compact 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 M�eray-Runge Phenomenon) 11. Cardinal Logarithmic Spline Interpolants 12. Inversion of Mellin Transform 13. A Complex Contour Integral Representation of Cardinal Logarithmic Spline Interpolants (Non-Compact Paths) 14. Divergence Behaviour of Cardinal Logarithmic Spline Interpolants (The Newman-Schoenberg Phenomenon) 15. Summary and Concluding Remarks References Subject Index Author Index
Item type: E-BOOKS
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Link to resource Available EBK11284

Bibliography: p. 101-106.

Includes indexes.

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 (Non-Compact Paths) 7. A Complex Contour Integral Representation of Euler-Frobenius Polynomials (Non-Compact 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 M�eray-Runge Phenomenon) 11. Cardinal Logarithmic Spline Interpolants 12. Inversion of Mellin Transform 13. A Complex Contour Integral Representation of Cardinal Logarithmic Spline Interpolants (Non-Compact Paths) 14. Divergence Behaviour of Cardinal Logarithmic Spline Interpolants (The Newman-Schoenberg Phenomenon) 15. Summary and Concluding Remarks References Subject Index Author Index

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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