Harish-Chandra’s Schwartz space

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Harish-Chandra’s Schwartz space is a space of rapidly decreasing, smooth functions on a real reductive Lie group that plays a central role in harmonic analysis and representation theory on such groups.

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Harish-Chandra regularity theorem involves Harish-Chandra’s Schwartz space
Bernstein center in representation theory analogy Harish-Chandra’s Schwartz algebra center for real reductive groups
linked to: Harish-Chandra’s Schwartz space