Complex Contour Integral Representation of Cardinal Spline Functions : Contemporary Math.

Intro -- Contents -- Foreword -- Preface -- Acknowledgements -- 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 Méray-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. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.