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Displaying 81 – 100 of 103

The wavelet transform on Sobolev spaces and its approximation properties.

Andreas Rieder (1990/1991)

Numerische Mathematik

The $ℒ_{ν}^{(ρ)}$ -transformation on McBride’s spaces of generalized functions

Domingo Israel Cruz-Báez, Josemar Rodríguez (1998)

Commentationes Mathematicae Universitatis Carolinae

An integral transform denoted by $ℒ_{ν}^{(ρ)}$ that generalizes the well-known Laplace and Meijer transformations, is studied in this paper on certain spaces of generalized functions introduced by A.C. McBride by employing the adjoint method.

Theorem of differential equations for Mikusinski operators.

B. Stankovic (1974)

Publications de l'Institut Mathématique [Elektronische Ressource]

Theorem on association of variables in multidimensional Laplace transforms.

Debnath, Joyati, Debnath, Narayan Chandra (1989)

International Journal of Mathematics and Mathematical Sciences

Theorem On Differential Equations For Mikusinski Operators

Bogoljub Stanković (1975)

Publications de l'Institut Mathématique

Theorems on $n$ -dimensional Laplace transforms and their applications.

Dahiya, R.S., Saberi-Nadjafi, Jafar (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Theorems on some families of fractional differential equations and their applications

Gülçin Bozkurt, Durmuş Albayrak, Neşe Dernek (2019)

Applications of Mathematics

We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for the vibration...

Three-dimensional reconstruction from projections

Jiří Jelínek, Karel Segeth, T. R. Overton (1985)

Aplikace matematiky

Computerized tomograhphy is a technique for computation and visualization of density (i.e. X- or $γ$ -ray absorption coefficients) distribution over a cross-sectional anatomic plane from a set of projections. Three-dimensional reconstruction may be obtained by using a system of parallel planes. For the reconstruction of the transverse section it is necessary to choose an appropriate method taking into account the geometry of the data collection, the noise in projection data, the amount of data, the...

Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey

Mainardi, Francesco, Gorenflo, Rudolf (2007)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are intended both in the Rieamann-Liouville sense and in the Caputo sense. After giving a necessary outline of the classica theory of linear viscoelasticity, we contrast these two types of fractiona derivatives in their ability to take into...

Transfer of connection problems for first level solutions of merimorphic differential equations, and associated Laplace transforms.

W.B. Jurkat, W. Balser, D.A. Lutz (1983)

Journal für die reine und angewandte Mathematik

Transfinite diameter on curves, Hankel determinants and the moment problem

Len Bos, Sione Ma'u (2015)

Banach Center Publications

We discuss problems on Hankel determinants and the classical moment problem related to and inspired by certain Vandermonde determinants for polynomial interpolation on (quadratic) algebraic curves in ℂ².

Transformadas De Poisson De Funciones No-Estandares.

Yu Takeuchi (1984)

Revista colombiana de matematicas

Transformations de Laplace et de Mellin. Formulaires. Mode d'utilisation [Book]

Serge Colombo, Jean Lavoine (1972)

Transformations de Laplace sur des sous-variétés de $C^{n}$ et représentations d’ondes entrantes et sortantes

J. Bros (1985/1986)

Séminaire Équations aux dérivées partielles (Polytechnique)

Transformations de Marcel Riesz

J. Horvath (1972/1973)

Séminaire Équations aux dérivées partielles (Polytechnique)

Transformée de Radon semi-globale

Mehdi Benchoufi (2011)

Bulletin de la Société Mathématique de France

Dans cet article, nous nous proposons d’étudier le noyau, l’image et une éventuelle formule d’inversion de la transformation de Radon réelle dans les domaines linéairement concaves. Nous rappelons que, dans $ℝ^{2}$ , on sait reconstruire une fonction à partir de sa transformation de Radon lorsque celle-ci est connue le long de toutes les droites de l’espace. Notre propos sera, en quelque sorte, d’établir une version semi-globale de ce résultat. Nous verrons ainsi que, modulo un noyau que nous préciserons,...

Twisted spherical means in annular regions in $ℂ^{n}$ and support theorems

Rama Rawat, R.K. Srivastava (2009)

Annales de l’institut Fourier

Let $Z (Ann (r, R))$ be the class of all continuous functions $f$ on the annulus $Ann (r, R)$ in $ℂ^{n}$ with twisted spherical mean $f \times μ_{s} (z) = 0,$ whenever $z \in ℂ^{n}$ and $s > 0$ satisfy the condition that the sphere $S_{s} (z) \subseteq Ann (r, R)$ and ball $B_{r} (0) \subseteq B_{s} (z) .$ In this paper, we give a characterization for functions in $Z (Ann (r, R))$ in terms of their spherical harmonic coefficients. We also prove support theorems for the twisted spherical means in $ℂ^{n}$ which improve some of the earlier results.

Currently displaying 81 – 100 of 103