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- W4386461792 abstract "Before discussing the notion of distributions, the authors give a few functional spaces on which are defined topological structures that will help making sense of the notions of limit and continuity within the context of distributions. In this chapter, Ω denotes an open set of R d . The authors begin by defining the support of a function. They choose a space of test functions that possesses all the necessary physical and mathematical characteristics. The authors aim to give the main properties of convolution that are often used. When working with Borel functions (not necessarily continuous), it is no longer reasonable to say that the support is the closure of the set of points where the function is non-zero." @default.
- W4386461792 created "2023-09-06" @default.
- W4386461792 date "2023-09-05" @default.
- W4386461792 modified "2023-10-01" @default.
- W4386461792 title "Spaces of Test Functions" @default.
- W4386461792 doi "https://doi.org/10.1002/9781394236411.ch2" @default.
- W4386461792 hasPublicationYear "2023" @default.
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