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An interesting property of the Poisson operating characteristic function
Statistical Papers, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +3 more sources
The Characteristic Operator Function
2020In this section we discuss the case of close-to-anti-self-adjoint operators, which is the case of interest in quaternionic analysis, and we first prove some properties of the characteristic operator function, also providing some examples. We then move to inverse problems under assumptions on the behavior at infinity, but of course other situations ...
Daniel Alpay +2 more
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On the Operating Characteristic Function for the Exponential Family
Calcutta Statistical Association Bulletin, 1986This note investigates the behaviour of the function h( θ) used in Wald's approximation to the operating characteristic function of a sequential probability ratio test for testing a parameter in an exponential family density.
Walker, D. M., Weber, N. C.
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Sectorial extensions of a positive operator and the characteristic function
Ukrainian Mathematical Journal, 1989See the review in Zbl 0669.47022.
Derkach, V. A. +2 more
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UNITARY OPERATOR COLLIGATIONS AND THEIR CHARACTERISTIC FUNCTIONS
Russian Mathematical Surveys, 1978ContentsIntroduction § 1. Unitary colligations § 2. Operations with colligations § 3. Characteristic functions of unitary colligations § 4. Some facts about holomorphic contracting operator functions § 5. Construction of a colligation from its characteristic operator function § 6. Factorization of characteristic functions § 7. The functional model of a
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On characteristic operator-functions of Lie-algebras
Integral Equations and Operator Theory, 1983An algebra Lie of linear operators in a Hilbert space with given characteristic function and given structure constants is defined up to a unitary transformation of the Hilbert space.
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Operator polynomials as inverses of characteristic functions
Integral Equations and Operator Theory, 1978The main purpose is to introduce a new operator node and a new characteristic operator function. The node serves as a model for monic operator polynomials.
Bart, H., Gohberg, I., Kaashoek, M. A.
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Continuity of functions operating on characteristic functions
Mathematical Proceedings of the Cambridge Philosophical Society, 1996AbstractFor a locally compact abelian group G let P0(G) denote the set of all characteristic functions on G (i.e., continuous positive definite functions φ with φ(0) = 1). A complex-valued function f is said to operate on P0(G) if f(φ(·)) ∈ P0(G) whenever φ ∈ P0(G). The natural domain for functions operating on P0(G) is the set D(G) = {z ∈ C: z = φ(g),
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Mathematics of the USSR-Sbornik, 1987
The article is devoted to the analysis of the spectral meaning of the determinant of the characteristic function of a not self-adjoint operator L, operating in separable Hilbert space H. The authors use the functional model of not self-adjoint operators formulated in previous Naboko's work.
Veselov, V. F., Naboko, S. N.
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The article is devoted to the analysis of the spectral meaning of the determinant of the characteristic function of a not self-adjoint operator L, operating in separable Hilbert space H. The authors use the functional model of not self-adjoint operators formulated in previous Naboko's work.
Veselov, V. F., Naboko, S. N.
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