Titlebook: Analysis and Applied Mathematics; Extended Abstracts o Allaberen Ashyralyev,Michael Ruzhansky,Makhmud A. Conference proceedings 2024 The E

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The Application of Spectral Resolution of a Self-Adjoint Operator to Approximate Elliptic Source Idened results are used to establish stability inequalities for solution of DS for Neumann-type elliptic multidimensional SIP with integral condition. Finally, numerical illustration for 2D test example is carried out.

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Allaberen Ashyralyev,Michael Ruzhansky,Makhmud A. Reflects the latest developments in analysis and applied mathematics and their interdisciplinary applications.Provides visions of professional experts in the field of analysis and applied mathematics.

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https://doi.org/10.1007/978-3-030-90328-2cessary and sufficient conditions for the boundedness and compactness of the operator . and two-sided estimates for its approximation numbers. All results are obtained using domain partitions, thus providing a road map for generalizing many one-dimensional results to a Hausdorff topological space.

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Xuanyi Chen,Yanfei Zhu,Chengqi Xueal partial sums: . where . are the Fourier coefficients of .. Historically, progress with solving the Luzin’s conjecture has been made by considering easier problems. One of such easier problems for . was suggested by V. A. Il’in in 1968 and this problem is called the generalized localization princi

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Lecture Notes in Computer Scienceonducts a comprehensive review of regularization methods aimed at stabilizing solutions to inverse problems. Focusing on techniques such as Tikhonov regularization, machine learning-based regularization, and Bayesian regularization, we explore their mathematical foundations, numerical implementation

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