Results 1  10
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57
Shilov Boundary, Dynamics and Entropy in C²
, 1999
"... For domains in C² which are defined by consideration of the dynamics of a holomorphic endomorphism T : C² ! C² we investigate the Shilov boundary @ SH K(T ) of their closure K(T ). We show that the complement of the Shilov boundary in the topological boundary @K(T ) foliates into complex analytic se ..."
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For domains in C² which are defined by consideration of the dynamics of a holomorphic endomorphism T : C² ! C² we investigate the Shilov boundary @ SH K(T ) of their closure K(T ). We show that the complement of the Shilov boundary in the topological boundary @K(T ) foliates into complex analytic
1 Regular functions on the Shilov boundary
, 2008
"... In this paper a ∗algebra of regular functions on the Shilov boundary S(D) of bounded symmetric domain D is constructed. The algebras of regular functions on S(D) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate principal ..."
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In this paper a ∗algebra of regular functions on the Shilov boundary S(D) of bounded symmetric domain D is constructed. The algebras of regular functions on S(D) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate
The Shilov boundary of an operator space  and applications to the . . .
, 1999
"... We study a noncommutative (operator space) version of the ‘boundary’, and in particular the Shilov boundary, of a function space. The main idea is that Hilbert C ∗ −modules and their properties, which we studied earlier in the operator space framework, replace certain topological tools. We include ..."
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We study a noncommutative (operator space) version of the ‘boundary’, and in particular the Shilov boundary, of a function space. The main idea is that Hilbert C ∗ −modules and their properties, which we studied earlier in the operator space framework, replace certain topological tools. We
ALGEBRAS OF INVARIANT FUNCTIONS ON THE SHILOV BOUNDARIES OF SIEGEL DOMAINS
"... Abstract. Let D = G/K be a bounded symmetric domain and K/L the Shilov boundary of D. Let N be the Shilov boundary of the Siegel domain realization of G/K. We consider the case when D is the exceptional nontube type domain of the type (e 6(−14), so(10) × so(2)). We prove that (N ⋊ L, L) is not a G ..."
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Abstract. Let D = G/K be a bounded symmetric domain and K/L the Shilov boundary of D. Let N be the Shilov boundary of the Siegel domain realization of G/K. We consider the case when D is the exceptional nontube type domain of the type (e 6(−14), so(10) × so(2)). We prove that (N ⋊ L, L) is not a
On the Coupling Constants, Geometric Probability and Shilov Boundaries
, 2005
"... Abstract. By recurring to Geometric Probability methods it is shown that the coupling constants, αEM, αW, αC, associated with the Electromagnetic, Weak and Strong (color) force are given by the ratios of measures of the sphere S2 and the Shilov boundaries ..."
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Abstract. By recurring to Geometric Probability methods it is shown that the coupling constants, αEM, αW, αC, associated with the Electromagnetic, Weak and Strong (color) force are given by the ratios of measures of the sphere S2 and the Shilov boundaries
1 Regular functions on quantum Shilov boundaries
, 2008
"... In this paper a ∗algebra of regular functions on the Shilov boundary S(D) of bounded symmetric domain D is constructed. The algebras of regular functions on S(D) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate principal ..."
Abstract
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In this paper a ∗algebra of regular functions on the Shilov boundary S(D) of bounded symmetric domain D is constructed. The algebras of regular functions on S(D) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate
The Shilov boundary of an operator space, and the characterization theorems
, 2000
"... We study operator spaces, operator algebras, and operator modules, from the point of view of the ‘noncommutative Shilov boundary’. In this attempt to utilize some ‘noncommutative Choquet theory’, we find that Hilbert C ∗modules and their properties, which we studied earlier in the operator space f ..."
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Cited by 34 (15 self)
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We study operator spaces, operator algebras, and operator modules, from the point of view of the ‘noncommutative Shilov boundary’. In this attempt to utilize some ‘noncommutative Choquet theory’, we find that Hilbert C ∗modules and their properties, which we studied earlier in the operator space
QUANTUM MATRIX BALL: THE CAUCHISZEGÖ KERNEL AND THE SHILOV BOUNDARY
, 2001
"... This work produces a qanalogue of the CauchiSzegö integral representation that retrieves a holomorphic function in the matrix ball from its values on the Shilov boundary. Besides that, the Shilov boundary of the quantum matrix ball is described and the Uqsun,ncovariance of the Uqs(un × un)invaria ..."
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Cited by 1 (1 self)
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This work produces a qanalogue of the CauchiSzegö integral representation that retrieves a holomorphic function in the matrix ball from its values on the Shilov boundary. Besides that, the Shilov boundary of the quantum matrix ball is described and the Uqsun,ncovariance of the Uqs(un × un
Rigidity of CR maps between Shilov boundaries of bounded symmetric domains
 INVENT MATH (2013) 193:409–437
, 2013
"... Our goal is to establish what seems to be the first rigidity result for CR embeddings between Shilov boundaries of bounded symmetric domains of higher rank. The result states that any such CR embedding is the standard linear embedding up to CR automorphisms. Our basic assumption extends precisely t ..."
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Cited by 1 (1 self)
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Our goal is to establish what seems to be the first rigidity result for CR embeddings between Shilov boundaries of bounded symmetric domains of higher rank. The result states that any such CR embedding is the standard linear embedding up to CR automorphisms. Our basic assumption extends precisely
Results 1  10
of
57