Titlebook: Women in Analysis and PDE; Marianna Chatzakou,Michael Ruzhansky,Diana Stoeva Conference proceedings 2024 The Editor(s) (if applicable) and

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978-3-031-57007-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Recovery of an Initial Condition from Later Time Samples,n. This framework combines spatiotemporal samples to produce various states of approximations and eventually reconstructs the solution exactly. Our model covers multiple initial value problems under the assumption that the initial conditions function is in a select function class.

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On Octonionic Harmonic Projection Operators,th .. In this paper, we start to study these projectors in the octonionic setting, that is, when . and .. We also formulate a conjecture about the norm of harmonic projection operators, considered as operators from . onto ., for . and ..

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,On the Green’s Function of the Perturbed Laplace-Beltrami Operator with a Finite Number of Punctures, some properties of Green’s function for the Laplace-Beltrami operator on the two-dimensional sphere in the three-dimensional Euclidean space, which have previously been studied in detail, are presented here. The Green’s function of the Laplace-Beltrami operator on the two-dimensional sphere with a finite number of punctured points is presented.