Growth of heat trace and heat content asymptotic coefficients

M. van den Berg , Peter Gilkey , K. Kirsten

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keywords heatasymptoticscontentgrowthtraceanalyticarbitrarilyasymptotic

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We show in the smooth category that the heat trace asymptotics and the heat content asymptotics can be made to grow arbitrarily rapidly. In the real analytic context, however, this is not true and we establish universal bounds on their growth.

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Growth of heat trace and heat content asymptotic coefficients

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