The Ubiquitous Heat Kernel book.

The Ubiquitous Heat Kernel book. This collection of papers aims to broaden productive communication across mathematical sub-disciplines.

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p. em. - (Contemporary mathematics, ISSN 0271-4132 ; 398) Includes bibliographical references. ISBN 0-8218-3698-6 (acid-free paper) 1. Heat equation-Congresses. 2. Lie groups-Congresses. 3. Jacobi forms-Congresses. 5. Operator theory-Congresses. 6. Global differential geometry-Congresses.

Like others, we came to the heat kernel via one direction of mathematics. Cite this chapter as: Jorgenson . Lang S. (2001) The Ubiquitous Heat Kernel. J. JORGENSON and J. KRAMER: Bounds for special values of Selberg zeta functions of Riemann surfaces. To appearGoogle Scholar. In: Engquist . Schmid W. (eds) Mathematics Unlimited - 2001 and Beyond. Springer, Berlin, Heidelberg.

The Ubiquitous Heat Kernel. The heat kernel in low-dimensional quantum theories. D. Fine 83. Heat kernels on weighted manifolds and applications. A. Grigor’yan 93. Heat kernels in geometric evolution equations. Grotowski 193. The range of the heat operator. B. Hall 203. Heat kernels and cycles. Harris 233. Green currents on K¨ahler manifolds. G. Hein 245. Heat kernels and Riesz transforms. S. Hofmann 257. The contest between the kernels in the Selberg trace formula for the. (q + 1)-regular tree. M. Horton, D. Newland, and A. Terras 265. Expressing Arakelov invariants using hyperbolic heat kernels.

A heat kernel signature (HKS) is a feature descriptor for use in deformable shape analysis and belongs to the group of spectral shape analysis methods. For each point in the shape, HKS defines its feature vector representing the point's local and global geometric properties. Applications include segmentation, classification, structure discovery, shape matching and shape retrieval.

The heat kernel for L is denoted by p t and its inverse Fourier transform in the central variable is explicitly given by. .

The heat kernel for L is denoted by p t and its inverse Fourier transform in the central variable is explicitly given by (see .Segal-Bargmann transform and Paley-Wiener theorems on Heisenberg motion groups.

In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions. It is also one of the main tools in the study of the spectrum of the Laplace operator, and is thus of some auxiliary importance throughout mathematical physics

The trace of the heat kernel diverges, which naturally leads to a regularization of the trace by studying Eisenstein series on the eigenfunction side and the cuspidal elements on the group periodization side

The trace of the heat kernel diverges, which naturally leads to a regularization of the trace by studying Eisenstein series on the eigenfunction side and the cuspidal elements on the group periodization side. 0%. 4 star4 star (0%). 3 star3 star (0%). 2 star2 star (0%). 1 star1 star (0%).

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