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Titlebook: Investigations in Linear Operators and Function Theory; Part I N. K. Nikol’skii Book 1972 Springer Science+Business Media New York 1972

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N. K. Nikol’skiift U niver­ sity of Technology and the Department of Industrial Engineering and Opera­ tions Research of the University of California at Berkeley, and was held on June 1,2 1995 in Delft. Groups at Berkeley and Delft were both deeply engaged in modeling deterioration in civil structures, particularly
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V. P. Khavin,F. A. Shamoyan­ sity of Technology and the Department of Industrial Engineering and Opera­ tions Research of the University of California at Berkeley, and was held on June 1,2 1995 in Delft. Groups at Berkeley and Delft were both deeply engaged in modeling deterioration in civil structures, particularly flood def
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,Multipliers and Divisors of Cauchy—Stieltjes Integrals,he multiplicative properties of functions g representable in U by an integral of the Cauchy—Stieltjes type: . in which M is a complex Borel measure on U. We denote the set of all such functions g by K. The set K is linear under the ordinary operations of addition of functions and multiplication of a
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Integral Representations of Functions of Classes L p l (G) and Embedding Theorems,) L. (G). Inasmuch as these classes coincide with the Sobolev classes W.(G) (see [1]) for integral value of the index l, the resulting representations may be regarded as generalizations in a certain direction of the well-known integral representations of functions of the classes W.(G). They enable o
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Nonstandard Ideals, Unicellularity, and Algebras Associated with a Shift Operator,th the earliest studies of Shilov [1], Beurling [2], and Donoghue [3] and extending up to the fundamental monographs [4, 5] and other recently published works [6–17], which we shall presently discuss in further detail. As the title of our article suggests, we propose to amplify on the problem (see [
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A Decomposition Theorem for the Translation-Invariant Subspace of a Canonical Differential Operator(I ± i y) define two subspaces H. and H. in H. We shall assume that H.. = dim H. = m. We denote by H. a certain subspace in H of dimension m, whose elements satisfy the relation (y f, g) = 0, f, g ∈ H..
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