Results 21 to 30 of about 5,306,168 (294)
Polynomial tempered distributions
Karpatsʹkì Matematičnì Publìkacìï, 2013 In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. Generalized operation of differentiation in the space of polynomial generalized functions as well as Fourier-Laplace transformation of such distributions ...
S. V. Sharyn
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An imbedding space for Schwartz distributions [PDF]
Pacific Journal of Mathematics, 1961 1. Introduction^ We consider here a facet of the problem of justifying the methods of the operational calculus and in particular the use of the "Dirac Delta Function". L. Schwartz's "Theorie des Distributions* ' [6] is the most complete exposition to date on generalized functions but the operational calculus as such is largely omitted. B.
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(ω, c)- Pseudo almost periodic distributions
Nonautonomous Dynamical Systems, 2020 The paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties.
Khalladi Mohammed Taha +1 more
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On Schwartz's C-spaces and Orlicz's O-spaces [PDF]
Colloquium Mathematicum, 1993 A Hausdorff topological vector space \([E, \tau]\) is called a \(C\)-space, if convergence of the series \(\sum a_ n x_ n\), where \(x_ n\in E\), for every \((a_ n)\in c_ 0\), implies convergence of \(\sum x_ n\) in \(E\). \([E, \tau]\) is called an \(O\)-space, if every series \(\sum x_ n\), \(x_ n\in E\), which is perfectly bounded, converges in \(E\)
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On local smooth solutions for the Vlasov equation with the potential of interactions ±r−2
International Journal of Mathematics and Mathematical Sciences, 2004 For the initial value problem for the Vlasov equation with the potential of interactions ±r−2, we prove the existence and uniqueness of a local solution with values in the Schwartz space S of infinitely differentiable functions rapidly decaying at ...
Peter Zhidkov
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Factorable bounded operators and Schwartz spaces [PDF]
Proceedings of the American Mathematical Society, 1974 A necessary condition for factoring continuous linear maps with domain co or 1l through a class of spaces which include the 4p spaces (in fact, include the Y, spaces) for 2_p Z and J:Z-* Y such that S=JT. Let en be the sequence with one in the nth place and zero otherwise. A variety (see [2] or [3]) is a collection of locally convex topological vector
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Life Values of Today’s Young University Students: Problems of Teacher Education [PDF]
ARPHA Proceedings, 2019 What makes this research relevant is the changes in the society’s and an individual’s value space, which affect the young the most, as the youth is more dynamic and sensitive to social changes, to changes in the society’s ideology and values.
Yekaterina Vedeneyeva +2 more
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Characterization of precompact maps, Schwartz spaces and nuclear spaces [PDF]
Transactions of the American Mathematical Society, 1972 A general representation theorem for "precompact" seminorms on a locally convex space is proven. Using this representation theorem the author derives a representation theorem for precompact maps from one locally convex space into another, that is analogous to the spectral representation theorem for compact maps from one Hilbert space into another and ...
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AxiomsThe main aim of this article is to derive certain continuity and boundedness properties of the coupled fractional Fourier transform on Schwartz-like spaces.
Shraban Das +2 more
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Basic Sequences in Non-Schwartz-Frechet Spaces [PDF]
Transactions of the American Mathematical Society, 1980 Obliquely normalized basic sequences are defined and used to characterize non-Schwartz-Fréchet spaces. It follows that each non-Schwartz-Fréchet space E has a non-Schwartz subspace with a basis and a quotient which is not Montel (which has a normalized basis if E is separable). Stronger results are given when more is known about E, for example, if E is
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