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Stability of Heat Kernel Estimates for Symmetric Non-Local Dirichlet Forms

期刊: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 271 (1330)

In this paper, we consider symmetric jump processes of mixed-type on metric measure spaces under general volume doubling condition, and establish stab......

Number Theoretic Motivations

期刊: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020; 267 (1303)

In this article, we shall study fundamental Bessel functions for GL(n)(F) arising from the Voronoi summation formula for any rank n and field F = R or......

Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

期刊: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019; 258 (1243)

This article studies constructions of reproducing kernel Banach spaces (RKBSs) which may be viewed as a generalization of reproducing kernel Hilbert s......

JIF:2.3

On Space-Time Quasiconcave Solutions of the Heat Equation

期刊: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019; 259 (1244)

In this paper we first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave soluti......

JIF:2.3

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