Decay estimates for unitary representations with applications to continuous- and discrete-time models [PDF]
arXiv, 2021 We present a new technique to obtain polynomial decay estimates for the matrix coefficients of unitary operators. Our approach, based on commutator methods, applies to nets of unitary operators, unitary representations of topological groups, and unitary operators given by the evolution group of a self-adjoint operator or by powers of a unitary operator.
arxiv
The analysis of complex phonetic elements in Bura and the syllable
Studies in African Linguistics, 1983 This paper examines those complex phonetic elements in Bura (and related languages such as Margi) which have been described by earlier scholars as unitary segments having a labial-alveolar double articulation.
Ian Maddieson
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On the Moore Formula of Compact Nilmanifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition ...
Hatem Hamrouni
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Enumerating representations of general unitary groups over principal ideal rings of length 2 [PDF]
arXiv, 2016 We enumerate the number of complex irreducible representations of each degree of general unitary groups of degree 4 over principal ideal rings of length 2.
arxiv
On Square-Integrable Representations of A Lie Group of 4-Dimensional Standard Filiform Lie Algebra
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 In this paper, we study irreducible unitary representations of a real standard filiform Lie group with dimension equals 4 with respect to its basis. To find this representations we apply the orbit method introduced by Kirillov. The corresponding orbit of
Edi Kurniadi
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Moyal Star-Product and Unitary Representations of the Euclidean Motion Group [PDF]
arXiv, 2019 In this paper, the Moyal star-product quantization is used to construct the unitary irreducible representations of the Euclidean motion group on 3-dimensions. These unitary representations will come from the representation of its Lie algebra whose operators are defined by the left Moyal star-product multiplication. In fact, these representations of the
arxiv
An Irreducible Unitary Representation of a Compact Group is Finite Dimensional [PDF]
, 1957 Paul Koosis
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On the extensions of infinite-dimensional representations of Lie semigroups
International Journal of Mathematics and Mathematical Sciences, 2002 The necessary and sufficient conditions have been obtained for extendability of a Banach representation of a generating Lie semigroup S to a local representation of the Lie group G generated by S when the tangent wedge of S is a Lie semialgebra. The most
Adolf R. Mirotin
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Unitary representations of the quantum "ax+b" group [PDF]
arXiv, 2001 We find all unitary representations of the quantum "ax+b" group. It turns out that this quantum group is selfdual in the sense that all unitary representations are 'numbered' by elements of the same group. Moreover, we discover the formula for all unitary representations involving S.L. Woronowicz's quantum exponential function.
arxiv
Reflection Positivity and Conformal Symmetry
, 2013 The concept of reflection positivity has its origins in the work of Osterwalder--Schrader on constructive quantum field theory and duality between unitary representations of the euclidean motion group and the Poincare group.
Neeb, Karl-Hermann, Olafsson, Gestur
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