Results 1 to 10 of about 100,604 (193)

Multidimensional Tauberian theorems for vector-valued distributions [PDF]

, 2014
We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of f is given by the integral transform M-phi(f)(x, y) = (f * phi(y))(x), (x, y) is an element of R-n x R+, with kernel phi(y) (t) =
Pilipović, Stevan, Vindas Diaz, Jasson
core   +2 more sources

Boundedness from H^1 to L^1 of Riesz transforms on a Lie group of exponential growth [PDF]

, 2007
Let $G$ be the Lie group given by the semidirect product of $R^2$ and $R^+$ endowed with the Riemannian symmetric space structure. Let $X_0, X_1, X_2$ be a distinguished basis of left-invariant vector fields of the Lie algebra of $G$ and define the ...
Sjögren, Peter, Vallarino, Maria
core   +3 more sources

Tauberian class estimates for vector-valued distributions [PDF]

, 2019
We study Tauberian properties of regularizing transforms of vector-valued tempered distributions, that is, transforms of the form $M^{\mathbf{f}}_{\varphi}(x,y)=(\mathbf{f}\ast\varphi_{y})(x)$, where the kernel $\varphi$ is a test function and $\varphi_ ...
Pilipović, Stevan, Vindas, Jasson
core   +2 more sources

Fractional transformations of generalised functions [PDF]

, 2009
A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Khan, Khaula Naeem, Lamb, Wilson, McBride, Adam C.   +2 more
core   +1 more source

Locally Anisotropic Kinetic Processes and Thermodynamics in Curved Spaces [PDF]

, 2000
The kinetic theory is formulated with respect to anholonomic frames of reference on curved spacetimes. By using the concept of nonlinear connection we develop an approach to modelling locally anisotropic kinetic processes and, in corresponding limits ...
Abramowitz, Barthel, Bogoslovsky, Boisseau, Cartan, Cartan, Chernikov, Chernikov, de Groot, de Groot, Dijkstra, Eckart, Fock, Ganga, Hawking, Hawking, Hehl, Israel, Israel, Kamke, Kern, Korn, Landau, Matsumoto, Miron, Miron, Miron, Overduin, Penrose, Ponomarev, Sergiu I. Vacaru, Smoot, Thomas, Tomita, Tseytlin, Vacaru, Vacaru, Vacaru, Vacaru, Vacaru, Vacaru, Vacaru, Vlasov, Weinberg, Zimdahl   +44 more
core   +2 more sources

The ridgelet transform and quasiasymptotic behavior of distributions [PDF]

, 2015
We characterize the quasiasymptotic behavior of distributions in terms of a Tauberian theorem for ridgelet transforms.Comment: 13 ...
Kostadinova, Sanja, Pilipovic, Stevan, Saneva, Katerina, Vindas, Jasson   +3 more
core   +2 more sources

On Radon transforms on tori [PDF]

, 2014
We show injectivity of the X-ray transform and the $d$-plane Radon transform for distributions on the $n$-torus, lowering the regularity assumption in the recent work by Abouelaz and Rouvi\`ere.
Ilmavirta, Joonas
core   +1 more source

Hardy type spaces on certain noncompact manifolds and applications [PDF]

, 2006
In this paper we consider a complete connected noncompact Riemannian manifold M with Ricci curvature bounded from below, positive injectivity radius and spectral gap b. We introduce a sequence X^1(M), X^2(M), ...
Agresti, Bihan, Cox, Craciun, De Loera, E. Postinghel, F. Sottile, García-Puente, Gel’fand, Miller, N. Villamizar, Pistone, Ziegler   +12 more
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On the Life and Work of S. Helgason

, 2013
This article is a contribution to a Festschrift for S. Helgason. After a biographical sketch, we survey some of his research on several topics in geometric and harmonic analysis during his long and influential career. While not an exhaustive presentation
Olafsson, G., Stanton, R. J.
core   +1 more source

The Gaussian Radon Transform in Classical Wiener Space [PDF]

, 2014
We study the Gaussian Radon transform in the classical Wiener space of Brownian motion. We determine explicit formulas for transforms of Brownian functionals specified by stochastic integrals.
Holmes, Irina, Sengupta, Ambar N.
core   +3 more sources