Results 81 to 90 of about 3,646,213 (202)

Spectral Riesz-Cesaro means: How the square root function helps us to see around the world

Electronic Journal of Differential Equations, 2000
The heat-kernel expansion for a nonanalytic function of a differential operator, and the integrated (Cesàro-smoothed) spectral densities associated with the corresponding nonanalytic function of the spectral parameter, exhibit a certain nonlocal ...
S. A. Fulling, E. V. Gorbar, C. T. Romero   +2 more
doaj  

Characterization of Riesz Spaces with Topologically Full Center

, 2013
Let E be a Riesz space and let E-similar to denote its order dual. The orthomorphisms Orth(E) on E, and the ideal center Z(E) of E, are naturally embedded in Orth(E-similar to) and Z(E-similar to) respectively.
Alpay, Safak, Orhon, Mehmet
core  

Some saturation classes for deferred Riesz and deferred Nörlund means [PDF]

One of main problem in approximation theory is determining a saturation class for a given method. The problem of determining a saturation class has been considered by Zamanski, Sunouchi, Watari and others. Mohaparta and Russel have considered some direct
ÇATAL, Cumali, DAĞADUR, İlhan, SEZGEK, Şeyda   +2 more
core   +1 more source

Asymptotic formula for the Riesz means of the spectral functions of Laplace-Beltrami operator on unit sphere [PDF]

, 2017
The mathematical models of the heat and mass transfer processes on the ball type solids can be solved using the theory of convergence of Fourier-Laplace series on unit sphere.
Ahatjonovich, Anvarjon Ahmedov, Rasedee, Ahmad Fadly Nurullah, Abdul Sathar, Mohammad Hasan   +2 more
core   +1 more source

Some Properties of Riesz Means and Spectral Expansions

, 1997
It is well known that short-time expansions of heat kernels correlate to formal high-frequency expansions of spectral densities. It is also well known that the latter expansions are generally not literally true beyond the first term.
S. A. Fulling, R. A. Gustafson
core  

Some Properties of Riesz Means and Spectral Expansions

, 2007
It is well known that short-time expansions of heat kernels correlate to formal high-frequency expansions of spectral densities. It is also well known that the latter expansions are generally not literally true beyond the first term.
S. A. Fulling
core  

Beurling-Landau's density on compact manifolds [PDF]

, 2012
Given a compact Riemannian manifold $M$, we consider the subspace of $L^2(M)$ generated by the eigenfunctions of the Laplacian of eigenvalue less than $L\geq1$.
Ortega-Cerdà, Joaquim, Ortega Cerdà, Joaquim, Pridhnani, Bharti   +2 more
core   +1 more source

Existence of solutions for Choquard equations with an L 1 $L^{1}$ -integrable reciprocal potential and upper critical growth

Boundary Value Problems
This paper is dedicated to studying the Choquard-type equation { − Δ u + V ( x ) u = ( I α ∗ | u | p ) | u | p − 2 u + λ | u | q − 2 u , u ∈ H 1 ( R N ) , $$ \left \{ \textstyle\begin{array}{l} - \Delta u + V(x)u = ( {{I_{\alpha }} * {{\left | u \right |}
Ting Guo, Tianle Xia, Xianhua Tang
doaj   +1 more source

Ground state solution for Schrödinger-Choquard equation: doubly critical case

Boundary Value Problems
In this paper, we investigate the following Schrödinger-Choquard equation: − Δ u + u = ( I α ∗ | u | 2 α ♯ ) | u | 2 α ♯ − 2 u + | u | q − 2 u + | u | r − 2 u , x ∈ R N , $$ -\Delta u+u = (I_{\alpha }*|u|^{2_{\alpha }^{\sharp }})|u|^{2_{\alpha }^{ \sharp
Yusheng Shen, Zhiwei Zou, You Gao
doaj   +1 more source

Normalized solutions for the Choquard equations with critical nonlinearities

Advances in Nonlinear Analysis
This study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
doaj   +1 more source