in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...

The covariance operator of a signal-plus-noise 0bserva:ion for a 2-parameter random field is factorized as products of Volterra type operators. As a result of this factorization we can express the determinant of this operator in terms of the system parameters. This determinant appears in the likelihood ratio that plays a significant role in identification and detection problems. Index Terms -Ra...

The paper obtains the general form of the cross-covariance function of vector fractional Brownian motion with correlated components having different self-similarity indices.

Abstract: In this note, we establish an asymptotic expansion for the centering parameter appearing in the central limit theorems for linear spectral statistic of large-dimensional sample covariance matrices when the population has a spiked covariance structure. As an application, we provide an asymptotic power function for the corrected likelihood ratio statistic for testing the presence of spi...

We investigated the meridional circulation of photospheric faculae throughout cycle 19. Together with the rotation observed in a companion paper (Meunier et al. 1996), we were able to address the problem of the existence of the observed differential rotation. Themeridional circulation is characterized by a strong north-south asymmetry. The distribution of meridional circulation around the mean ...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.

in this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.

Perturbation growth in uncertain systems associated with fluid flow is examined concentrating on deriving, solving, and interpreting equations governing the ensemble mean covariance. Covariance evolution equations are obtained for fluctuating operators and illustrative physical examples are solved. Stability boundaries are obtained constructively in terms of the amplitude and structure of opera...

Heat load forecasts are crucial for energy operators in order to optimize the production at district heating plants coming hours. Furthermore, of heat needed optimized control network since a lower temperature reduces loss, but required supply end-users puts limit on level. Consequently, improving accuracy leads savings and reduced loss by enabling improved an schedule plant. This paper propose...