Trace inequality with Bessel convolution
Mouna Chegaar, \'A. P. Horv\'ath
TL;DR
This paper characterizes trace inequalities involving Bessel kernels using a Kerman-Sawyer type approach and applies the results to estimate the smallest eigenvalue of Schrödinger-Bessel operators.
Contribution
It introduces a new characterization of trace inequalities with Bessel convolution and applies it to spectral estimates of Schrödinger-Bessel operators.
Findings
Established a Kerman-Sawyer type characterization for Bessel convolution trace inequalities.
Derived an estimate for the least eigenvalue of Schrödinger-Bessel operators.
Provided theoretical insights into potentials defined by Bessel kernels.
Abstract
Considering potentials defined by Bessel kernel with Bessel convolution a Kerman-Sawyer type characterization of trace inequality is given. As an application an estimate on the least eigenvalue of Schr\"odinger-Bessel operators is derived.
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Taxonomy
TopicsRandom Matrices and Applications · Point processes and geometric inequalities