Growth of heat trace and heat content asymptotic coefficients

M van den Berg; P. Gilkey; K. Kirsten

doi:10.1016/j.jfa.2011.06.008

Growth of heat trace and heat content asymptotic coefficients

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

Research output: Contribution to journal › Article (Academic Journal) › peer-review

4 Citations (Scopus)

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.

Translated title of the contribution	Growth of heat trace and heat content asymptotic coefficients
Original language	English
Pages (from-to)	2293 - 2322
Number of pages	30
Journal	Journal of Functional Analysis
Volume	261
Issue number	8
DOIs	https://doi.org/10.1016/j.jfa.2011.06.008
Publication status	Published - 15 Oct 2011

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Publisher: Elsevier

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10.1016/j.jfa.2011.06.008

http://www.sciencedirect.com/science/article/pii/S0022123611002266

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@article{8033c26d787441f7b5fd3e1c03a60d8b,

title = "Growth of heat trace and heat content asymptotic coefficients",

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.",

author = "\{van den Berg\}, M and P. Gilkey and K. Kirsten",

note = "Publisher: Elsevier",

year = "2011",

month = oct,

day = "15",

doi = "10.1016/j.jfa.2011.06.008",

language = "English",

volume = "261",

pages = "2293 -- 2322",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Growth of heat trace and heat content asymptotic coefficients

AU - van den Berg, M

AU - Gilkey, P.

AU - Kirsten, K.

N1 - Publisher: Elsevier

PY - 2011/10/15

Y1 - 2011/10/15

N2 - 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.

AB - 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.

U2 - 10.1016/j.jfa.2011.06.008

DO - 10.1016/j.jfa.2011.06.008

M3 - Article (Academic Journal)

SN - 0022-1236

VL - 261

SP - 2293

EP - 2322

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 8

ER -

Growth of heat trace and heat content asymptotic coefficients

Abstract

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