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

Luiz Hartmann; Matthias Lesch; Boris Vertman

doi:10.4171/jst/228

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

Journal of Spectral Theory ◽

10.4171/jst/228 ◽

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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Exact Laplace-type asymptotic formulas for the Bogoliubov Gaussian measure: The set of minimum points of the action functional

Theoretical and Mathematical Physics ◽

10.1134/s0040577917060071 ◽

2017 ◽

Vol 191 (3) ◽

pp. 870-885 ◽

Cited By ~ 1

Author(s):

V. R. Fatalov

Keyword(s):

Gaussian Measure ◽

Asymptotic Formulas ◽

Action Functional ◽

Laplace Type ◽

Minimum Points

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Harmonic forms and cohomology of singular stratified spaces

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2006.09.001 ◽

2007 ◽

Vol 131 (5) ◽

pp. 422-456

Author(s):

Vincenzo Ancona ◽

Bernard Gaveau ◽

Masami Okada

Keyword(s):

Harmonic Forms ◽

Stratified Spaces

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Orbispaces as differentiable stratified spaces

Letters in Mathematical Physics ◽

10.1007/s11005-017-1011-6 ◽

2017 ◽

Vol 108 (3) ◽

pp. 805-859 ◽

Cited By ~ 3

Author(s):

Marius Crainic ◽

João Nuno Mestre

Keyword(s):

Stratified Spaces

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

The Journal of Chemical Physics ◽

10.1063/1.1672352 ◽

1969 ◽

Vol 51 (6) ◽

pp. 2359-2362 ◽

Cited By ~ 39

Author(s):

Kenneth G. Kay ◽

H. David Todd ◽

Harris J. Silverstone

Keyword(s):

Dirac Delta ◽

Delta Functions ◽

Laplace Type

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The stratified spaces of a symplectic lie group action

Reports on Mathematical Physics ◽

10.1016/s0034-4877(06)80040-6 ◽

2006 ◽

Vol 58 (1) ◽

pp. 51-75 ◽

Cited By ~ 7

Author(s):

Juan-Pablo Ortega ◽

Tudor S. Ratiu

Keyword(s):

Group Action ◽

Lie Group ◽

Stratified Spaces ◽

Lie Group Action

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On Gromov's theorem andL 2-Hodge decomposition

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171204210365 ◽

2004 ◽

Vol 2004 (1) ◽

pp. 25-44 ◽

Cited By ~ 6

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.

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