Analysis reveals an accurate asymptotic estimate for the heat kernel trace of elliptic pseudo-differential operators, indicating improved precision in calculations.
We study the trace of the heat kernel of an elliptic Γ-pseudo-differential operator. We obtain an asymptotic formula for it with an optimal error bound. Our~work here refines and sharpens a result of Nicola and Rodino, in which its leading asymptotic is obtained.
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Kazushi Yoshitomi (2025) studied this question.
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