Average Dimension of Shift Spaces
- 作者: Vinogradov O.1
-
隶属关系:
- St. Petersburg State University
- 期: 卷 39, 编号 5 (2018)
- 页面: 717-721
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202287
- DOI: https://doi.org/10.1134/S199508021805013X
- ID: 202287
如何引用文章
详细
Recently the author obtained a series of sharp estimates of convolution classes by spaces of shifts of a single function. Those estimates generalize the well-known classical inequalities of Favard, Akhiezer and Krein. In the present paper we compute the average dimension of shift spaces. It appears that this dimension coincides with the average dimension of the spaces of entire functions of exponential type and of equidistant splines.
作者简介
O. Vinogradov
St. Petersburg State University
编辑信件的主要联系方式.
Email: olvin@math.spbu.ru
俄罗斯联邦, Universitetskii pr. 28, St. Petersburg, 198504