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Titlebook: Differential Equations on Manifolds and Mathematical Physics; Dedicated to the Mem Vladimir M. Manuilov,Alexander S. Mishchenko,Weipi Book

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Some Remarks on Equivariant Elliptic Operators and Their Invariants,We consider first order elliptic differential operators acting on sections of smooth vector bundles over compact manifolds and study certain invariants derived from the analysis of these operators, namely, the eta invariant (in the case of self-adjoint operators) and the index.
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Quantum Hall Effect and Noncommutative Geometry,This paper deals with the mathematical interpretation of the quantum Hall effect in terms of noncommutative geometry.
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J. H. Bieging,Martin Cohen,P. R. Schwartzurvey of results on generalized smooth distributions on manifolds, Riemannian structures, and associated Laplacians. Then, under the assumption that the singular foliation generated by the distribution is regular, we prove that the Laplacian associated with the distribution defines an unbounded mult
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Incoherent Scatter Radar (ISR) Systemsconsider the Cauchy problem with rapidly varying initial conditions whose characteristic spatial scale μ is greater than the characteristic spatial scale ε of oscillations of the perturbation. We discuss the relation of this problem to the class of problems in which one can use the adiabatic approxi
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https://doi.org/10.1007/978-3-540-77125-8eneous boundary conditions. Sufficient conditions on the damping coefficient g(x) for the large-time decay of solutions in L.(R+) without any smallness assumptions on the initial data are established. In contrast to previous results, these conditions do not require the strict positivity of the dampi
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