Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relations among various versions of the Segal-Bargmann transform   We present various relations among Versions A, B and C of the Segal-Bargmann
transform. We get results for the Segal-Bargmann transform associated to a
Coxeter group acting on a finite dimensional Euclidean space. Then analogous
results are shown for the Segal-Bargmann transform of a connected, compact Lie
group for all except one of the identities established in the Coxeter case. A
counterexample is given to show that the remaining identity from the Coxeter
case does not have an analogous identity for the Lie group case. A major result
is that in both contexts the Segal-Bargmann transform for Version C is
determined by that for Version A.

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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph