Serenity
发表于 2025-3-27 00:26:21
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厚颜
发表于 2025-3-27 01:41:10
Direct Image and Index Formulas in ,-TheoryLet . : . ⊂ . be a .-embedding of .-manifolds. In this section, we construct the direct image mapping . and prove that it preserves the Λ-index.
旅行路线
发表于 2025-3-27 07:13:14
Index Formula on the Noncommutative TorusIn this chapter, we show that index formulas for nonlocal elliptic operators obtained in the preceding chapters can be applied to Connes’ problem concerning the index of operators on the noncommutative torus.
hysterectomy
发表于 2025-3-27 09:47:27
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会议
发表于 2025-3-27 17:01:11
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来自于
发表于 2025-3-27 20:16:10
Nonlocal Elliptic Operatorson of the definitions and theorems to the case of operators acting in spaces of sections of arbitrary bundles on the manifold . is a nearly (though not 100%) standard exercise. Thus, we start from scalar operators.
Enzyme
发表于 2025-3-28 00:05:45
https://doi.org/10.1007/978-1-349-81403-9ptic operators over an arbitrary .*-algebra Λ. (The problem on the index of a single operator is obtained for Λ = ℂ, and the problem on the index of families is obtained for Λ = .(.), where . is the parameter space.) In the present chapter, we generalize the theory of elliptic operators over .*-algebras to the case of nonlocal elliptic operators.
庄严
发表于 2025-3-28 04:53:59
Maturation Phenomenon in Cerebral Ischemias similar to the classical one. Namely, it is given by the .-group of the crossed product of the algebra of functions on the cotangent bundle by the group Г. In this chapter, we give a detailed account of this result.
六边形
发表于 2025-3-28 09:26:09
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Oscillate
发表于 2025-3-28 12:04:37
Homotopy Classifications similar to the classical one. Namely, it is given by the .-group of the crossed product of the algebra of functions on the cotangent bundle by the group Г. In this chapter, we give a detailed account of this result.