The ubiquitous heat kernel : AMS Special Session the Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado
著者
書誌事項
The ubiquitous heat kernel : AMS Special Session the Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado
（Contemporary mathematics, 398）
American Mathematical Society, c2006
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注記
Includes bibliographical references
内容説明・目次
内容説明
The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding their research and connecting with others.
目次
Positivity of zeta distributions and small unitary representations by L. Barchini, M. Sepanski, and R. Zierau The heat equation and representations of the Jacobi group by R. Berndt Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians by J. Dodziuk and V. Mathai The heat kernel in low-dimensional quantum theories by D. S. Fine Heat kernels on weighted manifolds and applications by A. Grigor'yan Heat kernels in geometric evolution equations by J. F. Grotowski The range of the heat operator by B. C. Hall Heat kernels and cycles by B. Harris Green currents on Kahler manifolds by G. Hein Heat kernels and Riesz transforms by S. Hofmann The contest between the kernels in the Selberg trace formula for the $(q+1)$-regular tree by M. D. Horton, D. B. Newland, and A. A. Terras Expressing Arakelov invariants using hyperbolic heat kernels by J. Jorgenson and J. Kramer Grassmannians of higher local fields and multivariable tau functions by M. H. Lee and E. Previato Heat kernels and the range of the trace on completions of twisted group algebras by V. Mathai and I. Chatterji Theta functions, old and new by E. Previato The heat kernel on the symmetric space $\mathbf{SL}(n,\mathbf{F})/\mathbf{SU}(n,\mathbf{F})$ by P. Sawyer Incidence structure by B. Wang.
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