We describe the recording conditions that, together with the appropriate numerical reconstruction process, permit high-lateral-resolution reconstruction of in-line digital holograms. By high resolution, we mean a resolution that is beyond the Nyquist frequency, which is achieved by common methods. The proposed method is based on a previously reported generalized sampling theory that presents th...

The generalized cepstral analysis method is viewed as a unified approach to the cepstral method and the linear prediction method, in which the model spectrum varies continuously from all-pole to cepstral according to the value of a parameter γ. Since the human ear has high resolution at low frequencies, introducing similar characteristics to the model spectrum, we can represent speech spectrum ...

Hybrid knowledge bases (HKB’s) [11] were developed to provide formal models for the mediation of data and knowledge bases [14,15]. They are based on Generalized Annotated Logic Programming (GAP)[7] and employ an inference mechanism, HKB-resolution, that is considerably simpler than those that have been proposed for GAP. The simplicity of HKB-resolution is explained in this paper by showing that...

We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but different on each branch. The corresponding spatial operator is self-adjoint and we state explicit expressions for its resolvent and its resolution of the identity in terms of generalized eigenfunctions. This leads to a generalized Fourier t...

Abstract: Most data of which a statistician comes into contact has been rounded off in some manner, i.e., we do not observe X = x but a < X ≤ b. In this paper we investigate theoretical properties of the generalized fiducial distribution introduced in Hannig (2009) for such discretized data. Results are provided for both fixed sample size with increasing precision, and increasing sample size wi...

Analytic-bilinear approach for construction and study of integrable hierarchies, in particular, the KP hierarchy is discussed. It is based on the generalized Hirota identity. This approach allows to represent generalized hierarchies of integrable equations in a condensed form of finite functional equations. Resolution of these functional equations leads to the τ-function and addition formulae t...

in this paper, a new class of multifunctions, called generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions, has been dened and studied. some characterizations and severalproperties concerning generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions are obtained. the re-lationships between generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions and some known con-ce...