Derives semi-classical asymptotics for the heat kernel of the ar{ar{ heta}}-Neumann Laplacian on complex manifolds with boundary as k to infinity, extending Bismut, and applies to Morse inequalities and a Weyl law.
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A new regularization scheme for divergent power sums sum n^alpha uses fractional extensions of differential generators applied to a generalized spectral function, recovering zeta regularization under a consistency condition for continuous extension from integers.
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Semi-classical heat kernel asymptotics on complex manifolds with boundary
Derives semi-classical asymptotics for the heat kernel of the ar{ar{ heta}}-Neumann Laplacian on complex manifolds with boundary as k to infinity, extending Bismut, and applies to Morse inequalities and a Weyl law.
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Regularization of Divergent Power Sums via Fractional Extension of Differential Generators
A new regularization scheme for divergent power sums sum n^alpha uses fractional extensions of differential generators applied to a generalized spectral function, recovering zeta regularization under a consistency condition for continuous extension from integers.