Results 31 to 40 of about 370 (125)

On the Projective Description of Weighted (LF)‐Spaces of Continuous Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014
We solve the problem of the topological or algebraic description of countable inductive limits of weighted Fréchet spaces of continuous functions on a cone. This problem is investigated for two families of weights defined by positively homogeneous functions. Weights of this form play the important role in Fourier analysis.
Catherine V. Komarchuk, Sergej N. Melikhov, Shyam L. Kalla   +2 more
wiley   +1 more source

On the Nature of the Tsallis–Fourier Transform

Mathematics, 2015
By recourse to tempered ultradistributions, we show here that the effect of a q-Fourier transform (qFT) is to map equivalence classes of functions into other classes in a one-to-one fashion.
A. Plastino, Mario C. Rocca
doaj   +1 more source

Time Fractional Schrodinger Equation Revisited

Advances in Mathematical Physics, Volume 2013, Issue 1, 2013., 2013
The time fractional Schrodinger equation (TFSE) for a nonrelativistic particle is derived on the basis of the Feynman path integral method by extending it initially to the case of a “free particle” obeying fractional dynamics, obtained by replacing the integer order derivatives with respect to time by those of fractional order.
B. N. Narahari Achar, Bradley T. Yale, John W. Hanneken, Dumitru Baleanu   +3 more
wiley   +1 more source

Structure theorems for vector valued ultradistributions [PDF]

, 1980
It was proved by Komatsu that both Roumieu and Beurling ultradistributions can be locally expressed in the form P(D)f, where f is a continuous function and P is a differential operator of infinite order.
Fattorini, H.O.
core   +1 more source

Perturbation Theory for Abstract Volterra Equations

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
We consider additive perturbation theorems for subgenerators of (a, k)‐regularized C‐resolvent families. A major part of our research is devoted to the study of perturbation properties of abstract time‐fractional equations, primarily from their importance in modeling of various physical phenomena. We illustrate the results with several examples.
Marko Kostić, Irena Lasiecka
wiley   +1 more source

Superprocesses on ultradistributions [PDF]

Stochastics, 2016
Stochastic solutions provide new rigorous results for nonlinear PDE's and, through its local non-grid nature, are a natural tool for parallel computation. There are two different approaches for the construction of stochastic solutions: McKean's and superprocesses.
openaire   +2 more sources

Some Remarks on the Extended Hartley‐Hilbert and Fourier‐Hilbert Transforms of Boehmians

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
We obtain generalizations of Hartley‐Hilbert and Fourier‐Hilbert transforms on classes of distributions having compact support. Furthermore, we also study extension to certain space of Lebesgue integrable Boehmians. New characterizing theorems are also established in an adequate performance.
S. K. Q. Al-Omari, A. Kılıçman, Mustafa Bayram   +2 more
wiley   +1 more source

Application of the functional calculus to solving of infinite dimensional heat equation

Karpatsʹkì Matematičnì Publìkacìï, 2016
In this paper we study infinite dimensional heat equation associated with the Gross Laplacian. Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradifferentiable functions.
S.V. Sharyn
doaj   +1 more source

Progressive Gelfand‐Shilov Spaces and Wavelet Transforms

Journal of Function Spaces, Volume 2012, Issue 1, 2012., 2012
We discuss progressive Gelfand‐Shilov spaces consisting of analytic signals with almost exponential decay in time and frequency variables. It is shown that such signals enjoy an additional localization property. We define wavelet transform and inverse wavelet transform in (progressive) Gelfand‐Shilov spaces and study their continuity properties.
Dušan Rakić, Nenad Teofanov, Hans G. Feichtinger   +2 more
wiley   +1 more source

An Introduction to Extended Gevrey Regularity

Axioms
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider smoothness properties that go beyond Gevrey regularity, for example, when ...
Nenad Teofanov, Filip Tomić, Milica Žigić   +2 more
doaj   +1 more source