Results 251 to 260 of about 1,270,350 (303)

The Characteristic Operator Function

2020
In 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, Fabrizio Colombo, Irene Sabadini   +2 more
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Operator polynomials as inverses of characteristic functions

Integral Equations and Operator Theory, 1978
The 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, 1996
AbstractFor 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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On characteristic operator-functions of Lie-algebras

Integral Equations and Operator Theory, 1983
An 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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UNITARY OPERATOR COLLIGATIONS AND THEIR CHARACTERISTIC FUNCTIONS

Russian Mathematical Surveys, 1978
ContentsIntroduction § 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 the Operating Characteristic Function for the Exponential Family

Calcutta Statistical Association Bulletin, 1986
This 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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Unitary Systems and Characteristic Operator Functions

1993
This chapter presents an introduction to the theory of unitary systems and their transfer functions. We already met transfer functions of the form I + C(λ − A)-1 B in earlier chapters. Here we are concerned with the case when the system matrix is a unitary operator acting on an infinite dimensional Hilbert space.
I. Gohberg, M. A. Kaashoek, S. Goldberg
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Functions and Characteristics of an Operating System

1988
In this chapter we discuss in more detail the functions which we expect an operating system to fulfil, and isolate some of the characteristics it must exhibit in order to do so.
A. M. Lister, R. D. Eager
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