Unitary and Uniformly Bounded Representations of the Two by Two Unimodular Group Over Local Fields

Paul Sally

Type: Article

Publication Date: 1968-04-01

Citations: 20

DOI: https://doi.org/10.2307/2373536

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Locations

American Journal of Mathematics - View

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Works That Cite This (19)

Action	Title	Year	Authors
+	The Poisson transform and representations of a free group	1983	Anna Maria Mantero Anna Zappa
+ PDF Chat	On the decomposition of reducible principal series representations of<i>p</i>-adic Chevalley groups	1982	C. David Keys
+ PDF Chat	Unitarizable minimal principal series of reductive groups	2008	Dan Barbasch Dan Ciubotaru Alessandra Pantano
+	Are Unitarizable Groups Amenable?	2005	Gilles Pisier
+	Harmonic analysis of SL(2) over a locally compact field	1973	Charles Lloyd Gulizia
+ PDF Chat	Irreducibility of the analytic continuation of the principal series of a free group	1987	Anna Maria Mantero Anna Zappa
+	None	1998	Paul Sally
+ PDF Chat	Tensor products for<i>SL</i><sub>2</sub>(𝒦). I. Complementary series and the special representation	1981	Charles Asmuth Joe Repka
+ PDF Chat	Restriction of spherical representations of 𝑃𝐺𝐿₂(𝑄_{𝑝}) to a discrete subgroup	1984	Alessandro Figà-Talamanca Massimo A. Picardello
+	Multiplicity one fails for $p$-adic unitary principal series	1980	Anthony W. Knapp Gregg J. Zuckerman

Works Cited by This (9)

Action	Title	Year	Authors
+	Irreducible Unitary Representations of the Lorentz Group	1947	V. Bargmann
+ PDF Chat	On discrete subgroups of the two by two projective linear group over $\mathfrak{p}$ -adic fields	1966	Yasutaka Ihara
+ PDF Chat	Theory of spherical functions on reductive algebraic groups over p-adic fields	1963	Ichirō Satake
+	Analytic continuation of the irreducible unitary representations of the universal covering group of 𝑆𝐿(2,𝑅)	1967	Paul Sally
+ PDF Chat	Special functions on locally compact fields	1966	Paul Sally Mitchell Taibleson
+	REPRESENTATIONS OF A GROUP OF MATRICES OF THE SECOND ORDER WITH ELEMENTS FROM A LOCALLY COMPACT FIELD, AND SPECIAL FUNCTIONS ON LOCALLY COMPACT FIELDS	1963	I. M. Gel'fand M.I. Graev
+	Spherical Functions Over B-Adic Fields, I	1958	F. I. Mautner
+	Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group	1960	Ray A. Kunze E. M. Stein
+	Uniformly Bounded Representations, II. Analytic Continuation of the Principal Series of Representations of the n x n Complex Unimodular Group	1961	Ray A. Kunze E. M. Stein