Eine axiomatische Charakterisierung der Hilbert-Transformation
Eine Erweiterung des Satzes von Rakovcik und ihre Anwendung in der Simonenko-Theorie.
Einfache verallgemeinerte klassische Orthogonalpolynome.
Entire elliptic convolution equations in spaces of generalized distributions
Entire elliptic Hankel convolution equations
In this paper we characterize the entire elliptic Hankel convolutors on tempered distributions in terms of the growth of their Hankel transforms.
Equation Of Heat Conduction With Finite Wave Speeds
Ergodic theorems for certain power bounded operators.
Erratum: On the positive definiteness of n (a sequence of exponentials).
Erratum to "On convolution operators with small support which are far from being convolution by a bounded measure" (Colloq. Math. 67 (1994), 33-60)
Estimates for double Hilbert transform
Estimates of convolutions of certain number-theoretic error terms.
Estimation of anisotropic gaussian fields through Radon transform
We estimate the anisotropic index of an anisotropic fractional brownian field. For all directions, we give a convergent estimator of the value of the anisotropic index in this direction, based on generalized quadratic variations. We also prove a central limit theorem. First we present a result of identification that relies on the asymptotic behavior of the spectral density of a process. Then, we define Radon transforms of the anisotropic fractional brownian field and prove that these processes admit...
Estimation of anisotropic Gaussian fields through Radon transform
We estimate the anisotropic index of an anisotropic fractional Brownian field. For all directions, we give a convergent estimator of the value of the anisotropic index in this direction, based on generalized quadratic variations. We also prove a central limit theorem. First we present a result of identification that relies on the asymptotic behavior of the spectral density of a process. Then, we define Radon transforms of the anisotropic fractional Brownian field and prove that these processes...
Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations
MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One half of the space conditions are local, and the other are nonlocal. Extensions of Duhamel principle are obtained. In the case when the initial value condition is a local one i.e. of the form u(x1; :::; xn; 0) = f(x1; :::; xn) the problem reduces...
Exact Solutions of Nonlocal Pluriparabolic Problems
MSC 2010: 44A35, 44A40
Exakte Größenordnung für das Randverhalten des Poissonschen Integrals von BMO-Funktionen und VMO-Funktionen
Examples of Non-Uniqueness for the Combinatorial Radon Transform Modulo the Symmetric Group.
Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations.
Expansion of a class of functions into an integral involving associated Legendre functions.
Expansion Of Kampé De Fériet's Function