Pseudodifferential analysis on continuous family groupoids.
Lauter, Robert, Monthubert, Bertrand, Nistor, Victor (2000)
Documenta Mathematica
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Lauter, Robert, Monthubert, Bertrand, Nistor, Victor (2000)
Documenta Mathematica
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Polonijo, M. (1993)
Portugaliae mathematica
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Piotr Stachura (2000)
Banach Center Publications
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Catarina Carvalho, Yu Qiao (2013)
Open Mathematics
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To a domain with conical points Ω, we associate a natural C*-algebra that is motivated by the study of boundary value problems on Ω, especially using the method of layer potentials. In two dimensions, we allow Ω to be a domain with ramified cracks. We construct an explicit groupoid associated to ∂Ω and use the theory of pseudodifferential operators on groupoids and its representations to obtain our layer potentials C*-algebra. We study its structure, compute the associated K-groups,...
Ronald Brown, Osman Mucuk (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Milan Trch (2009)
Acta Universitatis Carolinae. Mathematica et Physica
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Morgado, José (1967)
Portugaliae mathematica
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Celakoska-Jordanova, Vesna (2010)
Mathematica Balkanica New Series
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AMS Subj. Classification: 03C05, 08B20 Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras...
W. Waliszewski
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CONTENTSIntroduction................................................................................................................................................. 3I. TERMS AND NOTATION....................................................................................................................... 5II. GROUPOIDS AND CATEGORIES...................................................................................................... 61. The notion of groupoid............................................................................................................................