Results 71 to 80 of about 3,646,213 (202)
Fractional Fourier Series on the Torus and Applications
Fractal and FractionalThis paper introduces the fractional Fourier series on the fractional torus and proceeds to investigate several fundamental aspects. Our study includes topics such as fractional convolution, fractional approximation, fractional Fourier inversion, and the
Chen Wang +4 more
doaj +1 more source
Spatial depth for data in metric spaces
Scandinavian Journal of Statistics, Volume 53, Issue 2, Page 684-711, June 2026.Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
On Concavity and Supermodularity [PDF]
Concavity and supermodularity are in general independent properties. A class of functionals defined on a lattice cone of a Riesz space has the Choquet property when it is the case that its members are concave whenever they are supermodular.
Luigi Montrucchio, Massimo Marinacci
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A strong quantitative form of the fractional isoperimetric inequality
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of oscillation of the boundary. This generalizes the local result by Fusco and Julin in [22].
Eleonora Cinti +2 more
wiley +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators
International Journal of Mathematics and Mathematical SciencesThe aim of this paper is to consider spectral inequalities of a class of Baouendi–Grushin type operators in cylinders. Such operators are hypoelliptic and we obtain non-Weyl type inequalities depending on the rate of the degeneracy.
Alaa Aljahili, Ari Laptev
doaj +1 more source
Localization for Riesz means of Fourier expansions
, 2014 The classical Riemann localization principle states that if an integrable function of one variable vanishes in an open set, then its Fourier expansion converges to zero in this set.
GIGANTE, Giacomo
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The aim of this paper is prove a theorem on the Riesz mean of expansions with respect to Riesz bases, which extends the previous results of Loi and Tahir on the Schrodinger operator to the operator of 4-th order.
M. B. Tahir, A. A. Aswhad
doaj
This paper studies production economies in a commodity space that is an ordered locally convex space. We establish a general theorem on the existence of equilibrium without requiring that the commodity space or its dual be a vector lattice.
Monique Florenzano +2 more
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Riesz means of Fourier transforms and Fourier series on Hardy spaces [PDF]
, 1998 Elementary estimates for the Riesz kernel and for its derivative are given. Using these we show that the maximal operator of the Riesz means of a tempered distribution is bounded from $H_p(ℝ)$ to $L_p(ℝ)$ (1/(α+1) < p < ∞) and is of weak type (1,1 ...
Weisz, Ferenc
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