Estimates for Sums of Eigenvalues of the Free Plate via the Fourier Transform

TL;DR

This paper derives upper bounds for sums of eigenvalues of the free plate using Fourier transform techniques, contributing to spectral theory and eigenvalue estimation methods.

Contribution

It introduces a novel approach employing Fourier transform to estimate eigenvalue sums for the free plate, advancing spectral analysis methods.

Findings

Established new upper bounds for eigenvalue sums

Demonstrated effectiveness of Fourier-based estimates

Enhanced understanding of spectral properties of free plates

Abstract

Using the Fourier transform, we obtain upper bounds for sums of eigenvalues of the free plate.