Results 21 to 30 of about 21,571 (171)
In this article, we consider the Laplace-Bessel differential operatorΔBk,n=∑i=1k∂2∂xi2+γixi∂∂xi+∑i=k+1n∂2∂xi2,γ1>0,…,γk>0.{\Delta }_{{B}_{k,n}}=\mathop{\sum }\limits_{i=1}^{k}\left(\frac{{\partial }^{2}}{\partial {x}_{i}^{2}}+\frac{{\gamma }_{i}}{{x}_{i}}
Hasanov Javanshir J. +2 more
doaj +1 more source
Properties of finite dual fusion frames [PDF]
A new notion of dual fusion frame has been recently introduced by the authors. In this article that notion is further motivated and it is shown that it is suitable to deal with questions posed in a finite-dimensional real or complex Hilbert space ...
Heineken, Sigrid Bettina +1 more
core +3 more sources
The space of extended orthomorphisms in a Riesz space [PDF]
We study the space Orth[infinity](L) of extended orthomorphisms in an Archimedean Riesz space L and its analogies with the complete ring of quotients of a commutative ring with unit element.
DePagter, B.
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2-D Prony-Huang Transform: A New Tool for 2-D Spectral Analysis [PDF]
This work proposes an extension of the 1-D Hilbert Huang transform for the analysis of images. The proposed method consists in (i) adaptively decomposing an image into oscillating parts called intrinsic mode functions (IMFs) using a mode decomposition ...
Borgnat, Pierre +4 more
core +2 more sources
Fractional Schrödinger Equation in the Presence of the Linear Potential
In this paper, we consider the time-dependent Schrödinger equation: i ∂ ψ ( x , t ) ∂ t = 1 2 ( − Δ ) α 2 ψ ( x , t ) + V ( x ) ψ ( x , t ) , x ∈ R , t > 0 with the Riesz space-fractional derivative of order ...
André Liemert, Alwin Kienle
doaj +1 more source
On the role of Riesz potentials in Poisson's equation and Sobolev embeddings [PDF]
In this paper, we study the mapping properties of the classical Riesz potentials acting on $L^p$-spaces. In the supercritical exponent, we obtain new "almost" Lipschitz continuity estimates for these and related potentials (including, for instance, the ...
Garg, Rahul, Spector, Daniel
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Constructive pointfree topology eliminates non-constructive representation theorems from Riesz space theory [PDF]
In Riesz space theory it is good practice to avoid representation theorems which depend on the axiom of choice. Here we present a general methodology to do this using pointfree topology.
AC Zaanen +25 more
core +4 more sources
A maximal Riesz-Kantorovich theorem with applications to markets with an arbitrary commodity set
By analyzing proofs of the classical Riesz-Kantorovich theorem, the Mazón-Segura de León theorem on abstract Uryson operators and the Pliev-Ramdane theorem on C-bounded orthogonally additive operators on Riesz spaces, we find the most general (to our ...
M. M. Popov, O. Z. Ukrainets
doaj +1 more source
Exponential Riesz bases, discrepancy of irrational rotations and BMO
We study the basis property of systems of exponentials with frequencies belonging to 'simple quasicrystals'. We show that a diophantine condition is necessary and sufficient for such a system to be a Riesz basis in L^2 on a finite union of intervals. For
Kozma, Gady, Lev, Nir
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Convexity Theorems for Riesz Means
In a previous note [Mem. Def. Acad. 5, 335--340 (1966; Zbl 0178.05801)], M. Riesz's classical convexity theorem was given a new generalization by the author. We refer to its review quotation (there, \(A^ k(x)\) denotes a Riesz \textit{sum} rather than mean). Theorem II of the present paper improves upon the former result in that the review's condition (
openaire +2 more sources

