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arXiv · hep-th/9312080

Functional determinants on spheres and sectors

J. S. Dowker
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Abstract

The scalar functional determinants on sectors of the two-dimensional disc and spherical cap are determined for arbitrary angles (rational factors of $π$). The wholesphere and hemisphere expressions are also given, in low dimensions, for both the ordinary and the conformal Laplacian. Comparisons are made with other work.

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J. S. Dowker. 1993-12-10. Functional determinants on spheres and sectors. https://doi.org/10.1063/1.531171

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