Sampling in reproducing Kernel Banach spaces Articles uri icon

publication date

  • August 2013

start page

  • 1401

end page

  • 1417

issue

  • 3

volume

  • 10

International Standard Serial Number (ISSN)

  • 1660-5446

Electronic International Standard Serial Number (EISSN)

  • 1660-5454

abstract

  • It is well-known the close relationship between reproducing kernel Hilbert spaces and sampling theory. The concept of reproducing kernel Hilbert space has been recently generalized to the case of Banach spaces. In this paper, some sampling results are proven in this new setting of reproducing kernel Banach spaces.

keywords

  • reproducing kernel banach space; semi-inner product; l-p shift-invariant space; average sampling