Results 21 to 30 of about 354 (150)

Riesz and Laurent decompositions on Riemann surfaces [PDF]

Proceedings of the American Mathematical Society, 1970
wherefi is of class HP on R,f6 is of class HP on R"\R, and s is an element of a certain specified finite dimensional space of functions meromorphic on R. The proof Heins gave for this result depends explicitly on the symmetry of the geometric configuration.
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The riesz decomposition theorem [PDF]

, 2006
In Section 15 we defined a function to be superharmonic if its negative is subharmonic. This is equivalent to saying that F is superharmonic on the open set Ω in ℝn if for every xo ∈ Ω ∃ r(x0) > 0 with $$F\left( {x_0 } \right) \geqslant \frac{1} {A}\int\limits_{\left| {x - x_0 } \right| = a} {F\left( x \right)} dS,$$ (17.1) for all a < r(x0),
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Riesz transforms on the Hardy space associated with generalized Schrödinger operators

Journal of Inequalities and Applications, 2019
Let L=−Δ+μ $\mathcal{L}=-\Delta +\mu $ be a generalized Schrödinger operator, where the measure μ is a nonnegative Radon measure. In this paper, we establish the molecular characterization of the Hardy type space HL1(Rn) $H^{1}_{\mathcal{L}}(\mathbb{R ...
Yixin Wang, Pengtao Li
doaj   +1 more source

Brain MR image segmentation for tumor detection based on Riesz probability distributions

Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization
This research introduces a new approach using the Riesz mixture model for medical image segmentation, specifically for diagnosing and treating brain tumors. We developed a novel technique for pixel classification based on the Riesz distribution, which is
Mariem Tounsi, Mouna Zitouni
doaj   +1 more source

Points of narrowness and uniformly narrow operators

Karpatsʹkì Matematičnì Publìkacìï, 2017
It is known that the sum of every two narrow operators on $L_1$ is narrow, however the same is false for $L_p$ with $1 < p < \infty$. The present paper continues numerous investigations of the kind.
A.I. Gumenchuk, I.V. Krasikova, M.M. Popov   +2 more
doaj   +1 more source

On Some Basic Theorems of Continuous Module Homomorphisms between Random Normed Modules

Journal of Function Spaces and Applications, 2013
We first prove the resonance theorem, closed graph theorem, inverse operator theorem, and open mapping theorem for module homomorphisms between random normed modules by simultaneously considering the two kinds of topologies—the -topology and the locally -
Guo Tiexin
doaj   +1 more source

Generalized Kato-Riesz decomposition

Linear and Multilinear Algebra, 2016
We shall say that a bounded linear operator $T$ acting on a Banach space $X$ admits a generalized Kato-Riesz decomposition if there exists a pair of $T$-invariant closed subspaces $(M,N)$ such that $X=M\oplus N$, the reduction $T_M$ is Kato and $T_N$ is Riesz.
Živković-Zlatanović, Snežana Č., Cvetković, Miloš D.   +1 more
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Riesz decompositions in Markov process theory [PDF]

Transactions of the American Mathematical Society, 1984
Riesz decompositions of excessive measures and excessive functions are obtained by probabilistic methods without regularity assumptions. The decomposition of excessive measures is given for Borel right processes. The results for excessive functions are formulated within the framework of weak duality.
Getoor, R. K., Glover, J.
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Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source