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Titlebook: Mathematics Without Boundaries; Surveys in Pure Math Themistocles M. Rassias,Panos M. Pardalos Book 2014 Springer Science+Business Media, L

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Which Numbers Simplify Your Problem?,mputer functions and the Surreals numbers as a universal non-Archimedean ring. The definition of each one of these rings is strongly motivated at elementary level and some open problems and ideas are introduced in the first two cases.
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,On the Circle Preserving Property of Möbius Transformations,e study of sphere-preserving maps. For the case . = 2, we also consider the problem whether or not the circle-preserving property is an invariant characteristic property of Möbius transformations for the circles corresponding to any norm function . on ..
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Extended Crystal PDEs,are also extended to singular PDEs (introducing .). An application to singular magnetohydrodynamics partial differential equations (MHD-PDEs) is given following some our previous results on such equations, and showing existence of (finite times stable smooth) global solutions crossing the critical nuclear energy production zone.
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Aveiro Discretization Method in Mathematics: A New Discretization Principle, differential equations satisfying very general boundary conditions or initial values (and in a somehow independent way of the boundary and domain). Furthermore, we will be able to give an ultimate sampling theory and an ultimate realization of the consequent general reproducing kernel Hilbert space
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Spectral Properties of Toeplitz Operators Acting on Gabor Type Reproducing Kernel Hilbert Spaces,e topic. The Berezin transform of general reproducing kernel Hilbert spaces applied to both kinds of Toeplitz operators shares in both cases the same natural phase-space interpretation of the Fock space model. In the first part of the survey we discuss the dependence of the eigenvalues on symbols an
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