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.
We outline a general procedure for reconstructing images and certain features from measurements based on a linear model. Roughly speaking, the method involves the construction of a Hilbert space on which the measurement functionals are continuous; the desired quantities can then be determined by variants of established techniques. In certain cases this construction results in a reproducing kernel...
Growth conditions are given on the samples f(n), n = 0, ±1, ±2, …, of an entire function f(z) of exponential type less than π that imply that the corresponding cardinal sine series converges. These conditions are the least restrictive of their kind that are possible. Furthermore, an example is provided of an entire function f(z) of exponential type π that is bounded on the real axis and whose corresponding...
We consider the behavior of symmetric partial sums of the classical cardinal series. Necessary and sufficient conditions for convergence are recorded and a bound on the asymptotic behavior of the limiting function is established. Questions concerning sampling, uniqueness, and the effect of index shifts are also addressed. Examples of certain band limited special functions that can be expressed as...
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.