Titlebook: Operator Theory and Differential Equations; Anatoly G. Kusraev,Zhanna D. Totieva Conference proceedings 2021 The Editor(s) (if applicable)

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Inverse Problems in the Multidimensional Hyperbolic Equation with Rapidly Oscillating Absolute Termch to setting such problems is developed for the case in which additional constraints are imposed only on several first terms of the asymptotics of the solution rather than on the whole solution. This approach is realized in the case of a multidimensional hyperbolic equation with unknown absolute term.

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,On the Brezis–Lieb Lemma and Its Extensions,hich the Brezis–Lieb lemma holds true. This gives also a net-version of the Brezis–Lieb lemma in .. for . ∈ [1, .). We discuss an operator version of the Brezis–Lieb lemma in certain convergence vector lattices.

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Boolean Valued Analysis: Background and Results,l structures and mappings are given in tabular form. A list of some problems arising outside the theory of Boolean valued models, but solved using the Boolean valued approach, is given. The relationship between the Kantorovich’s heuristic principle and the Boolean valued transfer principle is also discussed.

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,The Convergence of the Fourier–Jacobi Series in Weighted Variable Exponent Lebesgue Spaces,ient, and in a certain sense, necessary conditions on the variable exponent . = .(.) > 1 ensuring the uniform boundedness of Fourier-Jacobi sums . (. = 0, 1, …) with − 1 < ., . < −1∕2 in . are obtained.

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Operator Theory and Differential Equations978-3-030-49763-7Series ISSN 2297-0215 Series E-ISSN 2297-024X

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D. S. Klimentovense quantity of new knowledge on the genetic diversity of vegetables and the utilization of genetic resources, breeding methods and techniques, and on the development and utilization978-1-4419-2474-2978-0-387-30443-4Series ISSN 2363-8478 Series E-ISSN 2363-8486