Biorthogonal systems on unit interval and zeta dilation operators
Dorje C Brody
TL;DR
This paper presents an elementary derivation of conditions for systems of functions to form a Riesz basis on a finite interval, using concepts inspired by quantum mechanics.
Contribution
It introduces a novel, elementary derivation of Riesz basis conditions on finite intervals, connecting quantum mechanics concepts with functional analysis.
Findings
Derived conditions for Riesz bases on finite intervals
Connected quantum mechanics principles with basis theory
Provided a simplified approach to basis characterization
Abstract
An elementary 'quantum-mechanical' derivation of the conditions for a system of functions to form a Reisz basis of a Hilbert space on a finite interval is presented.
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