Schempp, Walter. <br/><br/>
Complex Contour Integral Representation of Cardinal Spline Functions :  Contemporary Math. 

 - 1st ed. 
 - 1 online resource (125 pages) 
 - Contemporary Mathematics ;  v.7 .
 - Contemporary Mathematics .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9780821875933 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Spline theory.<br/>Integral transforms.<br/>Integral representations.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA224 -- .S27 1982eb 
<br/><br/><label>Dewey Class. No.: </label>511/.42