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Growth of heat trace and heat content asymptotic coefficients |
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| Authors: | M van den Berg Peter Gilkey |
| Institution: | a School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK b Mathematics Department, University of Oregon, Eugene, OR 97403, USA c Department of Mathematics, Baylor University, Waco, TX 76798, USA |
| Abstract: | 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. |
| Keywords: | Heat trace Heat content Asymptotics Compact Riemannian manifold |
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