Symbol calculus on the affine group "ax + b"
نویسندگان
چکیده
منابع مشابه
Discrete Symbol Calculus
This paper deals with efficient numerical representation and manipulation of differential and integral operators as symbols in phase-space, i.e., functions of space x and frequency ξ. The symbol smoothness conditions obeyed by many operators in connection to smooth linear partial differential equations allow to write fast-converging, non-asymptotic expansions in adequate systems of rational Che...
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The paper is devoted to locally compact quantum groups that are related to classical ‘ax+b’ group. We discuss in detail the quantization of the deformation parameter assumed with no justification in the previous paper. Next we construct (on the C∗-level) a larger family of quantum deformations of ‘ax+ b’ group corresponding to the deformation parameter q2 running over an interval in unit circle...
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We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a noncocommutative Hopf algebra structure, simple realizations and quantum tensor operators. The deformation of the group is achieved by using the adjoint representation. The elements of quantum matrix form a Hopf algebra. Furthermore, we construct a differential calcu...
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Date The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned discipline. A Global Symbol for the Small b-Calculus on Manifolds With Boundary Thesis directed by Prof. Markus Pflaum Starting with the normal symbold of M. Pflaum ([Pfl98]), we generalize the mac...
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The notion of convergent star product is generally understood as the data of a one parameter family {Et}t∈I ⊂ C∞(M) of function algebras on a Poisson manifold (M, { , }). On each of them one is given an associative algebra structure ⋆t which respect to which the function space Et is closed. The family of products {⋆t} should moreover define in some sense a deformation of the commutative pointwi...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1995
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-115-3-207-217