Results 21 to 30 of about 989 (103)
A non-linear theory of infrahyperfunctions [PDF]
, 2019 We develop a nonlinear theory for infrahyperfunctions (also referred to as quasianalytic (ultra)distributions by L. H\"{o}rmander). In the hyperfunction case our work can be summarized as follows.
Debrouwere, Andreas +2 more
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Eigenfunction expansions of ultradifferentiable functions and ultradistributions in ℝⁿ [PDF]
, 2016 We obtain a characterization of ${\mathcal S}^{\{M_p\}}_{\{M_p\}}(\mathbb{R}^n)$ and $\mathcal {S}^{(M_p)}_{(M_p)}(\mathbb{R}^n)$, the general Gelfand-Shilov spaces of ultradifferentiable functions of Roumieu and Beurling type, in terms of decay ...
Vindas Diaz, Jasson, Vuckovic, Dorde
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Translation-modulation invariant Banach spaces of ultradistributions [PDF]
, 2018 We introduce and study a new class of translation-modulation invariant Banach spaces of ultradistributions. These spaces show stability under Fourier transform and tensor products; furthermore, they have a natural Banach convolution module structure over
Dimovski, Pavel +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2018, Issue 1, 2018., 2018 Let Sω′(R) be the space of tempered distributions of Beurling type with test function space Sω(R) and let Eω,p be the space of ultradifferentiable functions with arbitrary support having a period p. We show that Eω,p is generated by Sω(R). Also, we show that the mapping Sω(R)→Eω,p is linear, onto, and continuous and the mapping Sω,p′(R)→Eω,p′ is linear
Byung Keun Sohn, Jean Michel Rakotoson
wiley +1 more source
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 +2 more
wiley +1 more source
Convolution of n-dimensional Tempered Ultradistributions and Field Theory [PDF]
, 2003 In this work, a general definition of convolution between two arbitrary Tempered Ultradistributions is given. When one of the Tempered Ultradistributions is rapidly decreasing this definition coincides with the definition of J. Sebastiao e Silva.
Bollini, C. G., Rocca, M. C.
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Tempered Boehmians and ultradistributions [PDF]
Proceedings of the American Mathematical Society, 1995 An extension of the Fourier transform which is a one-to-one continuous mapping from the space of tempered Boehmians onto the space of Schwartz distributions is introduced. This shows that the space of tempered Boehmians can be identified with the space Z ′ \mathcal {Z}’ of ultradistributions.
openaire +4 more sources
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 +3 more
wiley +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
Structural theorems for quasiasymptotics of ultradistributions [PDF]
, 2019 We provide complete structural theorems for the so-called quasiasymptotic behavior of non-quasianalytic ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ...
Neyt, Lenny, Vindas Diaz, Jasson
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