scholarly journals Heat trace for Laplace type operators with non-scalar symbols

2017 ◽  
Vol 116 ◽  
pp. 90-118 ◽  
Author(s):  
B. Iochum ◽  
T. Masson
Keyword(s):  
Heat Trace ◽  
Laplace Type

HEAT KERNEL ASYMPTOTICS FOR ROOTS OF GENERALIZED LAPLACIANS

2003 ◽  
Vol 14 (04) ◽  
pp. 397-412 ◽  
Author(s):  
CHRISTIAN BÄR ◽  
SERGIU MOROIANU
Keyword(s):  
Heat Kernel ◽  
Closed Manifold ◽  
Type Operator ◽  
Wodzicki Residue ◽  
Heat Trace ◽  
Heat Kernel Asymptotics ◽  
Laplace Type

We describe the heat kernel asymptotics for roots of a Laplace type operator Δ on a closed manifold. A previously known relation between the Wodzicki residue of Δ and heat trace asymptotics is shown to hold pointwise for the corresponding densities.

scholarly journals Heat asymptotics with spectral boundary conditions. II

2003 ◽  
Vol 133 (2) ◽  
pp. 333-361 ◽  
Author(s):  
Peter Gilkey ◽  
Klaus Kirsten
Keyword(s):  
Riemannian Manifold ◽  
Boundary Conditions ◽  
Compact Riemannian Manifold ◽  
Smooth Boundary ◽  
Dirac Type ◽  
Heat Trace ◽  
Operator Of Dirac Type ◽  
Laplace Type

Let P be an operator of Dirac type on a compact Riemannian manifold with smooth boundary. We impose spectral boundary conditions and study the asymptotics of the heat trace of the associated operator of Laplace type.

Dirac Delta Functions in the Laplace‐Type Expansion of rnYlm(θ, φ)

1969 ◽  
Vol 51 (6) ◽  
pp. 2359-2362 ◽  
Author(s):  
Kenneth G. Kay ◽  
H. David Todd ◽  
Harris J. Silverstone
Keyword(s):  
Dirac Delta ◽  
Delta Functions ◽  
Laplace Type

scholarly journals On Gromov's theorem andL 2-Hodge decomposition

2004 ◽  
Vol 2004 (1) ◽  
pp. 25-44 ◽  
Author(s):  
Fu-Zhou Gong ◽  
Feng-Yu Wang
Keyword(s):  
Essential Spectrum ◽  
Vector Bundles ◽  
Functional Inequality ◽  
Upper Bounds ◽  
Hodge Decomposition ◽  
Laplace Type

Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type operators on Riemannian vector bundles. Consequently, explicit upper bounds are obtained for the dimension of the correspondingL 2-harmonic sections. In particular, some known results concerning Gromov's theorem and theL 2-Hodge decomposition are considerably improved.

Buffon-Laplace type problem for an irregular lattice

2017 ◽  
Vol 11 ◽  
pp. 731-737
Author(s):  
Ersilia Saitta ◽  
Marius Stoka
Keyword(s):  
Type Problem ◽  
Laplace Type

scholarly journals On the domain of Dirac and Laplace type operators on stratified spaces

2018 ◽  
Vol 8 (4) ◽  
pp. 1295-1348
Author(s):  
Luiz Hartmann ◽  
Matthias Lesch ◽  
Boris Vertman
Keyword(s):  
Stratified Spaces ◽  
Laplace Type
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