A New Form of the Segal-Bargmann Transform for Lie Groups of Compact Type
1999 ◽
Vol 51
(4)
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pp. 816-834
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Keyword(s):
New Form
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AbstractI consider a two-parameter family Bs,t of unitary transforms mapping an L2-space over a Lie group of compact type onto a holomorphic L2-space over the complexified group. These were studied using infinite-dimensional analysis in joint work with B. Driver, but are treated here by finite-dimensional means. These transforms interpolate between two previously known transforms, and all should be thought of as generalizations of the classical Segal-Bargmann transform. I consider also the limiting cases s → ∞ and s → t/2.
1992 ◽
Vol 46
(2)
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pp. 295-310
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2009 ◽
Vol 146
(2)
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pp. 351-378
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2006 ◽
Vol 03
(05n06)
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pp. 881-898
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Keyword(s):
1993 ◽
Vol 08
(20)
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pp. 3479-3493
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1997 ◽
Vol 08
(05)
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pp. 583-594
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Keyword(s):
1986 ◽
Vol 6
(1)
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pp. 149-161
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Keyword(s):
2002 ◽
Vol 226
(2)
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pp. 233-268
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