632 research outputs found
Decompositions of Generalized Wavelet Representations
Let be a simply connected, connected nilpotent Lie group which admits a
uniform subgroup Let be an automorphism of defined by
We assume that the linear action of
is diagonalizable and we do not assume that is commutative. Let be a
unitary wavelet representation of the semi-direct product group defined by and We obtain a decomposition of
into a direct integral of unitary representations. Moreover, we provide an
explicit unitary operator intertwining the representations, a precise
description of the representations occurring, the measure used in the direct
integral decomposition and the support of the measure. We also study the
irreducibility of the fiber representations occurring in the direct integral
decomposition in various settings. We prove that in the case where is an
expansive automorphism then the decomposition of is in fact a direct
integral of unitary irreducible representations each occurring with infinite
multiplicities if and only if is non-commutative. This work naturally
extends results obtained by H. Lim, J. Packer and K. Taylor who obtained a
direct integral decomposition of in the case where is commutative and
the matrix is expansive, i.e. all eigenvalues have absolute values larger
than one
Interview with John Dickson
An interview with John Dickson regarding his experiences with Edward Lansdale in the Philippines.https://scholars.fhsu.edu/lansdale_interviews/1007/thumbnail.jp
Interview with Dorothy Bohannan
An interview with Dorothy Bohannan regarding her experiences as the wife of a CIA operative in the Philippines leading up to the Vietnam War.https://scholars.fhsu.edu/lansdale_interviews/1004/thumbnail.jp
November 28, 1984 Lecture by Edward Lansdale
A lecture given by Edward Lansdale regarding his life experiences.https://scholars.fhsu.edu/lansdale_interviews/1041/thumbnail.jp
Interview with Spence Davis
A transcript of an interview with Spence Davis regarding his experiences with Edward Lansdale in the Philippines. The audio for this interview has been lost.https://scholars.fhsu.edu/lansdale_interviews/1009/thumbnail.jp
Interview with Manny Chavez
An interview with Manny Chavez regarding his experiences during the Vietnam War Era.https://scholars.fhsu.edu/lansdale_interviews/1008/thumbnail.jp
Interview with Peter Lansdale
An interview with Peter Lansdale regarding his experiences with Edward Lansdale.https://scholars.fhsu.edu/lansdale_interviews/1015/thumbnail.jp
Interview with Joseph Baker
An interview with Joseph Baker regarding his experiences with Edward Lansdale and the intelligence community.https://scholars.fhsu.edu/lansdale_interviews/1001/thumbnail.jp
December 19, 1984 Interview with Edward Lansdale
An interview with Edward Lansdale regarding his experiences in Vietnam.https://scholars.fhsu.edu/lansdale_interviews/1055/thumbnail.jp
Interview with former director of the CIA William Colby
An interview with former director of the CIA William Colby regarding his experiences leading up to and during the Vietnam War Era. Colby was the Director of Central Intelligence from 1973-1976.https://scholars.fhsu.edu/lansdale_interviews/1005/thumbnail.jp
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