Abstract Plancherel (Trace) Formulas over Homogeneous Spaces of Compact Groups
2017 ◽
Vol 60
(1)
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pp. 111-121
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AbstractThis paper introduces a unified operator theory approach to the abstract Plancherel (trace) formulas over homogeneous spaces of compact groups. LetGbe a compact group and letHbe a closed subgroup ofG. LetG/Hbe the left coset space ofHinGand letμbe the normalized G-invariant measure onG-Hassociated with Weil’s formula. Then we present a generalized abstract notion of Plancherel (trace) formula for the Hilbert spaceL2(G/H,μ).
2018 ◽
Vol 29
(01)
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pp. 1850005
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2016 ◽
Vol 101
(2)
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pp. 171-187
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2018 ◽
Vol 70
(1)
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pp. 97-116
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2011 ◽
Vol 32
(4)
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pp. 1313-1349
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2020 ◽
Vol 489
(2)
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pp. 124177
1961 ◽
Vol 5
(2)
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pp. 80-85
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1999 ◽
Vol 51
(1)
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pp. 96-116
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1981 ◽
Vol 33
(5)
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pp. 1097-1110
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