In this paper, the algebraic, geometric and analytic multiplicities of an eigenvalue for linear differential operators are defined and classified. The relationships among three multiplicities of an ...
The RH proof presents a complete resolution of the Riemann Hypothesis (RH) based on a spectral-theoretic construction. The core idea is the realization of a self-adjoint operator whose spectrum ...
ABSTRACT: In this paper, the algebraic, geometric and analytic multiplicities of an eigenvalue for linear differential operators are defined and classified. The relationships among three ...
Abstract: First-order optimization algorithms, often preferred for large problems, require the gradient of the differentiable terms in the objective function. These gradients often involve linear ...
This manuscript presents a complete, self-contained proof of the Riemann Hypothesis (RH) grounded in spectral operator theory. The result is obtained through the explicit construction of a real, ...
This work presents the mathematical/theoretical framework of the “nth-Order Feature Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint ...
The Rocky Mountain Journal of Mathematics, Vol. 39, No. 5 (2009), pp. 1467-1496 (30 pages) In this expository paper, we describe the Weyl calculus for bounded, self-adjoint operators acting on a ...
In this paper, we present two arguments showing that the classical "linear adjoint cone restriction conjecture" holds for the class of functions supported on the cone and invariant under spatial ...
Abstract: In a recent study we developed a fast and accurate algorithm to compute Global Positioning System (GPS) Slant Total Delay (STDs) utilizing numerical weather model data. Having developed a ...
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