Real Analysis

By C. S. Hönig. 1972

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In Pure Mathematics

Citations in the corpus

Optimal Schemes for Discrete Distribution Estimation Under Locally Differential Privacy (2017, methodology): “The product measure is the Carath´eodory extension of the premeasure on R [17, Ch. 20].”
Basic Complex Analysis: A Comprehensive Course in Analysis, Part 2A (2015, background): “Many books discuss the details of the construction of a partition of unity, for example, DiBenedetto [141].”
Optimum Co-Design for Spectrum Sharing between Matrix Completion Based MIMO Radars and a MIMO Communication System (2015, background): “According to the monotone convergence theorem [58], the alternating optimization is guaranteed to converge.”
Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View (2007, methodology): “Let F (x) = μ((−∞, x)), then F is lower semi-continuous and its points of continuity exactly coincide with the support of μs (see [19]).”
A duality approach to the fractional Laplacian with measure data (2025, unknown): “For further details see [4], [15] (see also [16]).”
Nonsmooth optimization via quasi-Newton methods (2012, background): “Absolutely continuous functions may be characterized as indefinite integrals of integrable functions [44].”
Dynamic Stability of the Replicator Equation with Continuous Strategy Space (2004, background): “Since P is a Borel measure, there is a unique closed subset of S, called the support of P, such that the measure of its complement is 0 but every open set that intersects it has positive measure (Royden, 1988).”