LOCALIZATION OF STABILITY AND p-FRAMES IN THE FOURIER DOMAIN
نویسنده
چکیده
In this paper, we introduce and study the localization of stability and p-frame properties of a finitely generated shiftinvariant system in the Fourier domain, and then provide more information to that shift invariant system. Especially for a shiftinvariant system generated by finitely many compactly supported functions, we show that it has p-frame property at almost all frequencies, and that it either has stability property at almost all frequencies or does not have stability property at all frequencies.
منابع مشابه
When every $P$-flat ideal is flat
In this paper, we study the class of rings in which every $P$-flat ideal is flat and which will be called $PFF$-rings. In particular, Von Neumann regular rings, hereditary rings, semi-hereditary ring, PID and arithmetical rings are examples of $PFF$-rings. In the context domain, this notion coincide with Pr"{u}fer domain. We provide necessary and sufficient conditions for...
متن کاملOn X ̃-frames and conjugate systems in Banach spaces
The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $tilde{X}$-frame and a system conjugate to $tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $tilde{X}$-frame having a conjugate system is studied.
متن کاملStability of One Bay Symmetrical Frames with Nonuniform Members
This paper deals with simple portal or gable steel frames with varying moment of inertia. Critical load for such frames is calculated by means of a very simple and approximate method through which the variation of moment of inertia for the members is considered by a quadratic function and then the equilibrium and continuity conditions have been used. The degree of precision of this method has b...
متن کاملOn Sum and Stability of Continuous $G$-Frames
In this paper, we give some conditions under which the finite sum of continuous $g$-frames is again a continuous $g$-frame. We give necessary and sufficient conditions for the continuous $g$-frames $Lambda=left{Lambda_w in Bleft(H,K_wright): win Omegaright}$ and $Gamma=left{Gamma_w in Bleft(H,K_wright): win Omegaright}$ and operators $U$ and $V$ on $H$ such that $Lambda U+Gamma V={Lambda_w U+Ga...
متن کاملDuals and approximate duals of g-frames in Hilbert spaces
In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003