Titlebook: Asymptotics of Nonlinearities and Operator Equations; Alexander M. Krasnosel’skii Book 1995 Birkh?user Verlag 1995 Boundary value problem.

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0255-0156 rential equations and boundary value problems. In particular, the problem on forced periodic oscillations is considered for equations arising in control theory.978-3-0348-9899-7978-3-0348-9082-3Series ISSN 0255-0156 Series E-ISSN 2296-4878

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An Overview of Time and Frequency LimitingIn this sequel, . will denote a set equipped with a finite measure .. We will consider measureable functions .(.) (. ∈ .) with values in the finite dimensional Eucledian space ?.. the inner product and the norm or ?. are denoted by (·,·) and ?·?, respectively.

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An Overview of Time and Frequency LimitingWe consider the space .=.(.,?. of all square-integrable functions .(.):.→?.. Recall that the norm and the inner product on ?. are denoted by ?·? and (·,·), respectively. In thir turn, the norm and the inner product on . is defined by the usual equality

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Fourier Transform Infrared SpectroscopyLet . be a fixed real Hilbert space with the inner product [·,·]. A linear operator . acting on . is called positive (see [Krasnoselskii, Zabreiko’ 1975]) if there exists . > 0 such that . for all . ∈ .. The infimum of all such values of . i called the . of . and is denoted by .(.) or .(.;.).

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