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153
LIMITS OF CONVOLUTION ITERATES AND RECURRENT RANDOM WALKS ON INVERSE AND REGULAR SEMIGROUPS
"... Abstract. Let $ be a locally compact, Hausdorff, second countable topological semigroup. We give several conditions for which a right random walk Zn is recurrent if S is also an inverse semigroup. We also consider properties of Zn if S is a regular semigroup. Secondly, we consider the value of sup ..."
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Abstract. Let $ be a locally compact, Hausdorff, second countable topological semigroup. We give several conditions for which a right random walk Zn is recurrent if S is also an inverse semigroup. We also consider properties of Zn if S is a regular semigroup. Secondly, we consider the value of sup
Laguerre semigroup and Dunkl operators
, 2009
"... We construct a twoparameter family of actions ωk,a of the Lie algebras l(2,R) by differentialdifference operators on R N \{0}. Here, k is a multiplicityfunction for the Dunkl operators, and a>0arises from the interpolation of the Weil representation of Mp(N,R) and the minimal unitary represent ..."
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Cited by 9 (4 self)
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by the second author with G. Mano (a=1). The boundary value of our semigroup Ωk,a provides us with (k, a)generalized Fourier transforms Fk,a, which includes the Dunkl transform Dk (a=2) and a new unitary operator Hk (a=1), namely a Dunkltype generalization of the Hankel transform. We establish the inversion
Combinatorics on Brauertype semigroups
, 2006
"... The Brauer semigroup Bn of partitions of a 2nelement set into twoelement subsets, can be generalized in various ways. For example we may consider arbitrary partitions to obtain the semigroup Cn. The visualization of elements of these semigroups as chips leads us to the TemperleyLieb semigroup TLn ..."
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, and give some formulas for calculating the number of idempotents. Finally we study regularity and inverse elements of our four semigroups.
A HOMOMORPHISM THEOREM FOR SEMIGROUPS
"... If S = S ° is a semigroup which has a Orestricted completely 0simple homomorphic image then it is known that S need not have a maximal completely 0simple homomorphic image. The main theorem of this paper shows that although this is true for homomorphisms onto it is not the case when we consider ..."
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) the class of all regular semigroups; (c) the class of all regular bisimple semigroups. In general, and in these three cases in particular, (ii) does not hold. However, if # is one of the following classes, both (i) and (ii) are satisfied. (d) the class of all inverse semigroups; (e) the class of all
Heat kernels on metric graphs and a trace formula
, 2007
"... We study heat semigroups generated by selfadjoint Laplace operators on metric graphs characterized by the property that the local scattering matrices associated with each vertex of the graph are independent from the spectral parameter. For such operators we prove a representation for the heat kerne ..."
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Cited by 31 (4 self)
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kernel as a sum over all walks with given initial and terminal edges. Using this representation a trace formula for heat semigroups is proven. Applications of the trace formula to inverse spectral and scattering problems are also discussed.
A NOTE ON FELLER SEMIGROUPS AND RESOLVENTS
"... ABSTRACT. Various equivalent conditions for a semigroup or a resolvent generated by a Markov process to be of Feller type are given. The Feller property of the semigroup generated by a Markov process plays a prominent role in the theory of stochastic processes. This is mainly due to the fact that i ..."
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notably the inversion formula for the Laplace transform, equation (3) in connection with lemma 5. On the other hand, we were not able to locate a reference where the results are collected and stated in the form of the theorem given below. Assume that (E, d) is a locally compact separable metric space
An Invariant Measure For Finitely Generated Rational Semigroups
"... . For a finitely generated rational semigroup G we establish the existence of a probability measure ¯ = ¯G on the Julia set J(G) which has a certain invariance property with respect to the semigroup. 1. Introduction In [7], M. Lyubich established the existence and uniqueness of a regular Borel prob ..."
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Cited by 5 (0 self)
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. For a finitely generated rational semigroup G we establish the existence of a probability measure ¯ = ¯G on the Julia set J(G) which has a certain invariance property with respect to the semigroup. 1. Introduction In [7], M. Lyubich established the existence and uniqueness of a regular Borel
On analytic semigroups and cosine functions in Banach spaces
"... If A generates a bounded cosine function on a Banach space X then the negative square root B of A generates a holomorphic semigroup, and this semigroup is the conjugate potential transform of the cosine function. This connection is studied in detail, and it is used for a characterization of cosine ..."
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function generators in terms of growth conditions on the semigroup generated by B. This characterization relies on new results on the inversion of the vectorvalued conjugate potential transform. AMS Mathematics Subject Classification: 44A15,44A35,47D03,47D09 1. Introduction In a Banach space X, consider
Integral formulas for the minimal representation of O(p, 2)
 ACTA APPL. MATH
"... The minimal representation π of O(p, q) (p + q: even) is realized on the Hilbert space of square integrable functions on the conical subvariety of Rp+q−2. This model presents a close resemblance of the Schrödinger model of the SegalShaleWeil representation of the metaplectic group. We shall give e ..."
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Cited by 8 (2 self)
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explicit integral formulas for the ‘inversion’ together with the analytic continuation to a certain semigroup of O(p + 2, C) of the minimal representation of O(p, 2) by using Bessel functions.
Results 11  20
of
153