شماره ركورد كنفرانس :
5362
عنوان مقاله :
Frame theory and reproducing kernel Hilbert spaces
پديدآورندگان :
Foroutan Mohammadreza foroutan_mohammadreza@yahoo.com Payam Noor University , Farzanfar Farzad farzanfar@pnu.ac.ir Payam Noor University
كليدواژه :
Parseval frame , Frame coefficients , Frame operator , Reproducing kernel Hilbert space , Reproducing property.
عنوان كنفرانس :
دوازدهمين سمينار جبر خطي و كاربردهاي آن
چكيده فارسي :
In this paper, we discuss various aspects of orthonormal, discrete frame expansions, together with some admissibility conditions with the reproducing kernel Hilbert spaces. We show that all Parseval frames in a Hilbert space are connected by transformations that are unitary between reproducing kernel Hilbert spaces. The purpose of this paper is to present a method for constructing a reproducing kernel Hilbert space and its associated kernel by means of frame theory.
