A band limited and Besov class functional calculus for - download pdf or read online

By Vitse P.

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Additional resources for A band limited and Besov class functional calculus for Tadmor-Ritt operators

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W. Baldoni-Silva and A. W. Knapp Building on joint work [8] with B. Speh, D. A. vogan [9,10] has obtained an algorithm for computimg composition series of the standard induced representations of a semisimple Lie group G. The algorithm takes a particularly simple form in the case that the representations are induced from a maximal parabolic On the one hand, subgroup. this algorithm does not seem to be widely known, possibly because the emphasis in the Vogan papers is somewhat different. And on the other hand, the algorithm is particularly well suited to deciding some irreducibility questions that arise in our paper [i], which settles the contribution to the unitary dual of a linear connected parabolic G subgroups.

0 ~ c < i, with nonsingular. is semidefinite. , in the Proposition out to P 12' L 0 ~ c < I. 1) beyond only if PLI3 = ½PL' is not infinitesimally unitary ½

By Langlands quotients obtained from maximal Thus it seems expedient to provide an exposition of Vogan's algorithm in the context of the examples needed for [I]. This approach to our irreducibility questions was suggested to us by Vogan, and it overlaps with the joint work of Barbasch and Vogan [3], which uses the algorithm to decide irreducibility in "critical cases" for classical groups. ) Calculations with the algorithm appear in other papers as well, for example in [2]. The present paper is organized as follows.

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