Titlebook: Harmonic Analysis on Reductive Groups; William H. Barker,Paul J. Sally Book 1991 Springer Science+Business Media New York 1991 Fourier tra

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Some Problems in Local Harmonic Analysis,he properties of a certain family of invariant distributions. These distributions arose naturally in a global context, as the terms on the geometric side of the trace formula. However, they are purely local objects, which include the ordinary invariant orbital integrals. One of our aims is to descri

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The Admissible Dual of ,, Via Restriction to Compact Opent Subgroups,n terms of parabolic induction. This leads to the notion of supercuspidal representation and, in the case of ., to the classification of irreducible (admissible) representations given in the work of Bernstein-Zelevinski [BZ], [Z]. On the other hand, the fact that . is a totally disconnected, locally

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The Schwartz Space of a General Semisimple Lie Group,c subgroups. Each family is parameterized by unitary characters of a .-stable Cartan subgroup. The Schwartz space .(.)is a space of smooth functions decreasing rapidly at infinity and satisfying the inclusions .. The Plancherel theorem expands Schwartz class functions in terms of the distribution ch

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,Construction and Classification of Irreducible Harish—Chandra Modules,so-called standard modules. As in some other contexts, standard modules are obtained by cohomological constructions which tend to be “easy” on the level of Euler characteristic. For certain values of the parameters in these constructions, there is a vanishing theorem; standard modules arise when the

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,Langlands’ Conjecture on Plancherel Measures for ,-Adic Groups,ula, one will have to compute the measures appearing in the formula; the so called Plancherel measures and formal degrees [12]. (For reasons stemming from .-indistinguishability, we would like to distinguish between the formal degrees for discrete series and the Plancherel measures for non-discrete

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ation allows to differentiate between emotions and affective reactions. This is an important aspect because emotions tend to generate stronger response. Besides, the emotion intensity also determines the intensity of an individual reaction. In particular, we implement the event-based emotions with c

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Lawrence Corwing the planning process..Here, we propose a refined version of a multi-agent planning principle, based on our previous work published as the conference version of this paper. The planning principle is designed so that it can get arbitrarily close to the general strong privacy preserving planning for