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math.FA2019
Whitney's and Seeley's type of extensions for maps defined on some Banach spaces
Victoria Rayskin
Let , and be an arbitrary Banach space. Consider a collection of open segments . Suppose the map has bounded Fréchet deri…
math.DS2019
New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples
Genrich Belitskii, Victoria Rayskin
The question of extension of locally defined maps to the entire space arises in many problems of analysis (e.g., local linearization of functional equations). A known classical met…
physics.soc-ph2019
Users' traffic on two-sided Internet platforms. Qualitative dynamics
Victoria Rayskin
Internet platforms' traffic defines important characteristics of platforms, such as pricing of services, advertisements, speed of operations. One can estimate the traffic with the…