Radon-Transformation auf nilpotenten Lie-Gruppen.
Range characterization of Radon transforms on quaternionic projective spaces.
Range characterization of Radon transforms on quaternionic projective spaces.
Range of the generalized Radon transform associated with partial differential operators.
In this work we consider two partial differential operators, define a generalized Radon transform and its dual associated with these operators and characterize its range.
Range of the horocyclic Radon transform on trees
In this paper we study the Radon transform on the set of horocycles of a homogeneous tree , and describe its image on various function spaces. We show that the functions of compact support on that satisfy two explicit Radon conditions constitute the image under of functions of finite support on . We extend these results to spaces of functions with suitable decay on , whose image under satisfies corresponding decay conditions and contains distributions on that are not defined pointwise....
Range of the k-dimensional Radon transform in real hyperbolic spaces.
Recent developments on the Stieltjes transform of generalized functions.
Reconstruction from Limited Data of Arc Means.
Reconstruction of algebraic sets from dynamic moments
We discuss an exact reconstruction algorithm for time expanding semi-algebraic sets given by a single polynomial inequality. The theoretical motivation comes from the classical -problem of moments, while some possible applications to 2D fluid moving boundaries are sketched. The proofs rely on an adapted co-area theorem and a Hankel form minimization.
Reduction of differential equations
Let (F,D) be a differential field with the subfield of constants C (c ∈ C iff Dc=0). We consider linear differential equations (1) , where , and the solution y is in F or in some extension E of F (E ⊇ F). There always exists a (minimal, unique) extension E of F, where Ly=0 has a full system of linearly independent (over C) solutions; it is called the Picard-Vessiot extension of F E = PV(F,Ly=0). The Galois group G(E|F) of an extension field E ⊇ F consists of all differential automorphisms of...
Relation between real and complex properties of the Laplace transform
Remarks on a moment problem and a problem of perfection of power methods of limitation
Remarks on the operational formulas for orthogonal polynomials
Renewal Processes of Mittag-Leffler and Wright Type
2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the renewal process of Wright type, so named by us because special functions of Mittag-Leffler and of Wright type appear in the definition of the relevant waiting times. We compare these three processes with each other, furthermore consider corresponding...
Representation of functions as the Post-Widder inversion operator of generalized functions.
Résolubilité sur un espace riemannien symétrique
Results on the commutative neutrix convolution product of distributions
Reverse convolution inequalities and applications to inverse heat source problems.
Reverse weighted - norm inequalities in convolutions.
Ridgelet transform on tempered distributions
We prove that ridgelet transform and adjoint ridgelet transform are continuous, where . We also define the ridgelet transform on the space of tempered distributions on , adjoint ridgelet transform on and establish that they are linear, continuous with respect to the weak-topology, consistent with , respectively, and they satisfy the identity , .