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Analyzes structural stability in infinite-dimensional Hilbert spaces, suggesting implications for spectral realizations.
This study constructs an operator framework on a prime-indexed infinite-dimensional Hilbert space grounded in completeness. By introducing Radon measure structures and compactness principles, structural stability of the system is analyzed. In particular, by characterizing conditions for energy minimization and the persistence of harmonic states, the work explores physical and geometric constraints relevant to potential spectral realizations of zeros of the Riemann zeta function.
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JeongMin Yeon (2026) studied this question.
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