TY  - BOOK
AU  - Schempp,W.
TI  - Complex contour integral representation of cardinal spline functions
T2  - Contemporary mathematics, 
SN  - 9780821875933 (online)
AV  - QA224 .S27
U1  - 511/.42 19
PY  - 1982///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Spline theory
KW  - Integral transforms
KW  - Integral representations
N1  - Includes indexes; Bibliography: p. 101-106; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/conm/007/
UR  - http://dx.doi.org/10.1090/conm/007
ER  -