Results 111 to 120 of about 66,959 (230)
ON MAUTNER'S EIGENFUNCTION EXPANSION [PDF]
Proceedings of the National Academy of Sciences, 1956 Bade, William G., Schwartz, Jacob T.
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Distribution of integer points on determinant surfaces and a mod‐p analogue
Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
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Equidistribution of points in the harmonic ensemble for the Wasserstein distance
Mathematika, Volume 72, Issue 2, April 2026.Abstract We study the asymptotics of the expected Wasserstein distance between the empirical measure of a point process and the background volume form. The main determinantal point process studied is the harmonic ensemble, where we get the optimal rate of convergence for homogeneous manifolds of dimension d⩾3$d\geqslant 3$, and for two‐point ...
Pablo García Arias
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Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1
Wei Dai +3 more
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Exact local distribution of the absolutely continuous spectral measure
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract It is well‐established that the spectral measure for one‐frequency Schrödinger operators with Diophantine frequencies exhibits optimal 1/2$1/2$‐Hölder continuity within the absolutely continuous spectrum (Avila and Jitomirskaya, Commun. Math. Phys. 301 (2011), 563–581).
Xianzhe Li, Jiangong You, Qi Zhou
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Moments of L$L$‐functions via a relative trace formula
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We prove an asymptotic formula for the second moment of the GL(n)×GL(n−1)$\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ Rankin–Selberg central L$L$‐values L(1/2,Π⊗π)$L(1/2,\Pi \otimes \pi)$, where π$\pi$ is a fixed cuspidal representation of GL(n−1)$\mathrm{GL}(n-1)$ that is tempered and unramified at every place, while Π$\Pi$ varies over a family of
Subhajit Jana, Ramon Nunes
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Distributions of eigenvalues for Sturm-Liouville problem under jump conditions
Journal of New Results in Science, 2012 This paper deals with the asymptotic estimates of eigenvalues for SturmLiouville problems with two supplementary transmission conditions at one interior point.
F. S. Muhtarov +2 more
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On an integral equation of the Dirichlet problem for the heat equation in the degenerating domain
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 This paper considers the first boundary value problem of heat conduction in a degenerating domain with a moving boundary, the boundary of the domain moves at a variable velocity.
M.T. Kosmakova
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Exponential estimates for quantum graphs
Electronic Journal of Differential Equations, 2018 The article studies the exponential localization of eigenfunctions associated with isolated eigenvalues of Schrodinger operators on infinite metric graphs.
Setenay Akduman, Alexander Pankov
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Existence of solutions for the p-Laplacian involving a Radon measure
Electronic Journal of Differential Equations, 2012 In this article we study the existence of solutions to eigenvalue problem $$displaylines{ -hbox{div} (|abla u|^{p-2}abla u)-lambda |u|^{p-2}umu=f quad hbox{in }Omega,cr u=0quadhbox{on }partialOmega }$$ where $Omega$ is a bounded domain in $mathbb{R}
Nedra Belhaj Rhouma, Wahid Sayeb
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