The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
In this paper, the notion of the Generalized canonical manifold is introduced, and the wavelet transform on the topological field manifold is defined. The reconstruction formula of the wavelet transform on the topological field manifold is established.
M.H. Faroughi introduced the concept of C-Fusion frames. In this paper, we consider the stability on C-Fusion frames for Hilbert spaces. We get some results that are in spirit close to classical results for discrete frames. We also expand the conclusion of the perturbation for a pair of C-Fusion Bessel sequences. Several meaningful results are obtained.
Frames play an important role in wavelet analysis. G-fra mes are generalized frames which include ordinary frames, a nd many other recent generalization of frames. In this paper, we give several theorems to construct a large number of new G-frames from existing G-frames.
In this paper, by virtue of the methods which comes from intersecting and combining differential geometry with wavelet theory, and this method belong to us. We extend the two-direction multiresolution and the two-direction Mallat Algorithm to the theory on the special differential manifold - compact Lie group, our work lay a foundation for the further study wavelet theory on compact Lie group.
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.