# On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem

Open Mathematics (2011)

- Volume: 9, Issue: 4, page 814-832
- ISSN: 2391-5455

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topBoris Sternin. "On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem." Open Mathematics 9.4 (2011): 814-832. <http://eudml.org/doc/269578>.

@article{BorisSternin2011,

abstract = {We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and Fredholm property for elliptic operators are obtained. This class of operators is studied using pseudodifferential uniformization, which reduces the problem to a pseudodifferential operator acting in sections of infinite-dimensional bundles.},

author = {Boris Sternin},

journal = {Open Mathematics},

keywords = {G-pseudodifferential operators; Transversal ellipticity; Pseudodifferential uniformization; Lie groups; Finiteness theorem; -pseudodifferential operators; transversal ellipticity; pseudodifferential uniformization; finiteness theorem},

language = {eng},

number = {4},

pages = {814-832},

title = {On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem},

url = {http://eudml.org/doc/269578},

volume = {9},

year = {2011},

}

TY - JOUR

AU - Boris Sternin

TI - On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem

JO - Open Mathematics

PY - 2011

VL - 9

IS - 4

SP - 814

EP - 832

AB - We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and Fredholm property for elliptic operators are obtained. This class of operators is studied using pseudodifferential uniformization, which reduces the problem to a pseudodifferential operator acting in sections of infinite-dimensional bundles.

LA - eng

KW - G-pseudodifferential operators; Transversal ellipticity; Pseudodifferential uniformization; Lie groups; Finiteness theorem; -pseudodifferential operators; transversal ellipticity; pseudodifferential uniformization; finiteness theorem

UR - http://eudml.org/doc/269578

ER -

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