Unitary representations and harmonic analysis : an introduction

By M. Sugiura. 1990

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Conformal basis for flat space amplitudes (2017, background): “This range of ∆ is known as the principal continuous series of irreducible unitary representations of SO(1, d + 1), which plays a central role in the harmonic analysis of the conformal group (see, for example, [25]).”
Correspondence-free Structure from Motion (2007, background): “For background material, readers should consult (Helgason, 2000; Maslen and Rockmore, 1995; Sugiura, 1990).”
Strings in $AdS_{3}$ and SL(2,R) WZW Model, 1 (2000, background): “Similarly, supplementary series representations need a jdependent modification to the norm to render them normalizable [16].”
The worldsheet dual of the symmetric product CFT (2018, background): “Provided that the Casimir satisfies C ≥ λ(1−λ) where we take λ ∈ [0, 1], these representations are unitary, see [28, 29] for useful reviews.”
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups (2008, background): “For the groups disccussed in this paper, the sets of non-equivalent irreducible representations (and hence the GFT) are well known (see for instance [29]);”
A Classification of Homogeneous Operators in the Cowen-Douglas Class (2009, methodology): “In the following, we use the notation of [7, 9], which is the notation used in [13].”