## Experimental Mathematics

### On the Periodized Square of L2 Cardinal Splines

#### Abstract

We establish properties of and propose a conjecture concerning $\sum_m (S(x + m))2$, where $S$ is a piecewise polynomial cardinal spline in $L^2(\mathbb{R})$.

#### Article information

Source
Experiment. Math. Volume 20, Issue 2 (2011), 177-188.

Dates
First available: 6 October 2011

Permanent link to this document
http://projecteuclid.org/euclid.em/1317924409

Mathematical Reviews number (MathSciNet)
MR2821389

Subjects
Primary: 65A15 62G07: Density estimation

#### Citation

Giné, E.; Güntürk, C. S.; Madych, W. R. On the Periodized Square of L 2 Cardinal Splines. Experimental Mathematics 20 (2011), no. 2, 177--188. http://projecteuclid.org/euclid.em/1317924409.