PHON
发表于 2025-3-23 10:09:32
Preliminaries on group actions,We discuss some aspects of index and secondary index theory for flat bundles with duality. This theory was first developed by Lott. Our main purpose in the present paper is provide a modification with better functorial properties.
不自然
发表于 2025-3-23 15:48:30
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Apoptosis
发表于 2025-3-23 18:52:03
Cyclic homology and pseudodifferential operators, a survey,We present a brief introduction to Hochschild and cyclic homology designed for researchers interested in pseudodifferential operators and their applications to index theory, spectral invariants, and asymptotics.
凌辱
发表于 2025-3-24 00:40:49
Index and secondary index theory for flat bundles with duality,We discuss some aspects of index and secondary index theory for flat bundles with duality. This theory was first developed by Lott. Our main purpose in the present paper is provide a modification with better functorial properties.
Pruritus
发表于 2025-3-24 02:36:57
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Obsequious
发表于 2025-3-24 09:48:19
Banach-Valued Integral Equations,folds with and without boundary. Considered in detail are the Atiyah-Singer and Atiyah-Patodi-Singer index theorems, their heat kernel proofs, and their generalizations to manifolds with corners of codimension two via the method of `attaching cylindrical ends’.
ingenue
发表于 2025-3-24 10:55:23
https://doi.org/10.1007/BFb0079799s of trace and potential type, formulated in terms of global projections on Y together with an additional symbolic structure. This gives rise to operator block matrices . with A in the upper left corner. We study an algebra of such operators, where ellipticity is equivalent to the Fredholm property
promote
发表于 2025-3-24 18:31:52
Preliminaries on group actions,s of model examples. The investigation involves subelliptic pseudodifferential operators in Sobolev and Hölder spaces, microlocal analysis, and Fredholm theory. At the end, two open problems are proposed.
过分自信
发表于 2025-3-24 20:34:05
Oscar E. Lanford,Michael Yampolskyl lines, we have to deal with several technical difficulties due to the non-compactness of the boundary, which prevents us from using the standard characterization of Fredholm and compact (pseudo-)differential operators between Sobolev spaces on compact manifolds..As an application, we obtain a solu
deface
发表于 2025-3-25 02:15:22
Local Dynamics of a Parabolic Germ,, first studied by Sternin in the 1960s. We consider both analytic aspects of the theory (the structure of the algebra of morphisms, ellipticity, Fredholm property) and topological aspects (index formulas and Riemann—Roch theorems). We also study the algebra of Green operators arising as a subalgebr