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Titlebook: Geometric Methods in Physics; XXXIII Workshop, Bia Piotr Kielanowski,Pierre Bieliavsky,Theodore Voron Conference proceedings 2015 Springer

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Geometric Methods in Physics978-3-319-18212-4Series ISSN 2297-0215 Series E-ISSN 2297-024X
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Management of Oil Field Development,A homotopy analogue of the notion of a triangular Lie bialgebra is proposed with a goal of extending basic notions of the theory of quantum groups to the context of homotopy algebras and, in particular, introducing a homotopical generalization of the notion of a quantum group, or quantum.-group.
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Estimating Status Vectors from Sight Angles,In these lectures I discuss the Linearization Theorem for Lie groupoids, and its relation to the various classical linearization theorems for submersions, foliations and group actions. In particular, I explain in some detail the recent metric approach to this problem proposed in [6].
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Dynamic Systems on Measure ChainsAs a natural extension of the affine groups of the reals and the complexes, leading to one and two-dimensional wavelets, we look at the quaternionic affine group and its representations on both complex and quaternionic Hilbert spaces. We then study the problem of coherent states and wavelets built from these representations.
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Vibration Screening in Layered Soil,Generalized Fourier transform and related convolution based on Weyl group orbit functions transform can be used in spatial image filtering. In this paper we use the family of .-orbit functions of .. to provide an example of such a filtering.
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https://doi.org/10.1007/978-981-97-2950-0For the group . we write explicitly operators intertwining irreducible finite-dimensional representations .. with tensor products . (we call them Poisson and Fourier transforms), they are differential operators, and also we write explicit formulae for compositions of these transforms with Lie operators of the overgroup .
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