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Absolute Continuity
"... This paper was partially supported by ONR Grant N0001491J1526 We can associate with M a P(IF )measurable family of Hilbert subspaces of E. If K 2 L (E) according to [14] we can introduce the inner product in KE by (Ky ) K = hy i 8y . For use later we need the following two res ..."
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results. Proposition 1. (See Proposition 10 in [ ]). There exists a completion HK of KE with respect to the inner product (\Delta; \Delta) K such that HK ae E and the natural imbedding is continuous
Asymptotic absolute continuity . . .
 PROC. INDIAN ACAD. SCI. (MATH. SCI.)
, 2002
"... We study the notion of asymptotic velocity for a class of perturbed timedependent quadratic Hamiltonians. In particular we give a sufficient condition for absolute continuity. ..."
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We study the notion of asymptotic velocity for a class of perturbed timedependent quadratic Hamiltonians. In particular we give a sufficient condition for absolute continuity.
Absolute continuity and hyponormal operators
 Internat. J. Math. Math. Sci
, 1981
"... ABSTRACT. Let T be a completely hyponormal operator, with the rectangular representation T A + iB, on a separable Hilbert space. If 0 is not an eigenvalue of T * then T also has a polar factorization T UP, with U unitary. It is known that A, B and U are all absolutely continuous operators. Conversel ..."
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Cited by 1 (0 self)
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ABSTRACT. Let T be a completely hyponormal operator, with the rectangular representation T A + iB, on a separable Hilbert space. If 0 is not an eigenvalue of T * then T also has a polar factorization T UP, with U unitary. It is known that A, B and U are all absolutely continuous operators
Absolutely Continuous Compensators
, 2010
"... We give sufficient conditions on the underlying filtration such that all totally inaccessible stopping times have compensators which are absolutely continuous. If a semimartingale, strong Markov process X has a representation as a solution of a stochastic differential equation driven by a Wiener pro ..."
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Cited by 3 (0 self)
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We give sufficient conditions on the underlying filtration such that all totally inaccessible stopping times have compensators which are absolutely continuous. If a semimartingale, strong Markov process X has a representation as a solution of a stochastic differential equation driven by a Wiener
Uniqueness and Absolute Continuity . . .
"... The paper presents necessary and sufficient conditions for the absolute continuity of measures generated by infinitedimensional martingale problems. This result is applied to study the existence and uniqueness of weak solutions to nonlinear parabolic SPDE's. The paper also addresses the probl ..."
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The paper presents necessary and sufficient conditions for the absolute continuity of measures generated by infinitedimensional martingale problems. This result is applied to study the existence and uniqueness of weak solutions to nonlinear parabolic SPDE's. The paper also addresses
The Absence of the Absolutely Continuous Spectrum for 0
"... The absence of the absolutely continuous spectrum for 0 Wannier{Stark ladders ..."
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The absence of the absolutely continuous spectrum for 0 Wannier{Stark ladders
The absolutely continuous spectrum of Jacobi matrices
"... Abstract. I explore some consequences of a groundbreaking result of Breimesser and Pearson on the absolutely continuous spectrum of onedimensional Schrödinger operators. These include an Oracle Theorem that predicts the potential and rather general results on the approach to certain limit potential ..."
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Cited by 60 (10 self)
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Abstract. I explore some consequences of a groundbreaking result of Breimesser and Pearson on the absolutely continuous spectrum of onedimensional Schrödinger operators. These include an Oracle Theorem that predicts the potential and rather general results on the approach to certain limit
Absolutely Continuous Selections From Absolutely Continuous Set Valued Map.
"... this paper we prove that the barycentric selection from an absolutely continuous set valued map with nonempty convex values is absolutly continuous. Moreover we prove using barycentric selection that under certain conditions for every x o 2 F #t o # there exists an absolutely continuous selection ..."
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this paper we prove that the barycentric selection from an absolutely continuous set valued map with nonempty convex values is absolutly continuous. Moreover we prove using barycentric selection that under certain conditions for every x o 2 F #t o # there exists an absolutely continuous selection
On the Continuity and Absolute Continuity of Credibility Functions
, 2007
"... The objective of this paper is to study some new analytical properties of credibility functions. We first discuss the continuity of credibility functions, and establish the sufficient and necessary conditions for the right continuity and left continuity of credibility functions. Furthermore, we stud ..."
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Cited by 2 (1 self)
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study the absolute continuity of credibility functions and obtain some sufficient conditions for the absolute continuity of credibility functions. The results obtained in this paper are useful in
AN OVERVIEW OF ABSOLUTE CONTINUITY AND ITS APPLICATIONS
"... Abstract. The aim of this paper is to illustrate the usefulness of the notion of absolute continuity in a series of
elds such as Functional Analysis, Approximation Theory and PDE. 1. ..."
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Abstract. The aim of this paper is to illustrate the usefulness of the notion of absolute continuity in a series of
elds such as Functional Analysis, Approximation Theory and PDE. 1.
Results 1  10
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3,891