The general sampling theory by using reproducing kernels. (English) Zbl 1381.94048
Pardalos, Panos M. (ed.) et al., Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Cham: Springer (ISBN 978-3-319-31315-3/hbk; 978-3-319-31317-7/ebook). 185-204 (2016).
Summary: We would like to propose a new method for the sampling theory which represents the functions by a finite number of point data in a very general reproducing kernel Hilbert space function space. The result may be looked at as an ultimate sampling theorem in a reasonable sense. We shall give numerical experiments also as its evidences.
For the entire collection see [Zbl 1355.00026].
For the entire collection see [Zbl 1355.00026].
MSC:
| 94A20 | Sampling theory in information and communication theory |
| 62G08 | Nonparametric regression and quantile regression |
