Space Of Distributions With Compact Support

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Support (mathematics) - Wikipedia

    https://en.wikipedia.org/wiki/Support_(mathematics)
    In mathematics, the support of a real-valued function f is the subset of the domain containing those elements which are not mapped to zero. If the domain of f is a topological space, the support of f is instead defined as the smallest closed set containing all points not mapped to zero. This concept is used very widely in mathematical analysis

29 Fourier Transforms of Distributions with Compact Support.

    https://www.sciencedirect.com/science/article/pii/S0079816908602779
    This chapter discusses the Fourier transforms of distributions with compact support and Paley-Wiener theorem. This chapter considers a continuous function f with compact support in R n.The chapter mentions that the Fourier transform of a continuous function with compact support can be extended to the complex space C n, as an entire analytic function of exponential type.

Quantum phase-space distributions with compact support ...

    https://www.sciencedirect.com/science/article/pii/S1386947709002422
    Phase-space representations of quantum distributions such as the Wigner function and Kadanoff–Baym Green's functions do not have compact support which leads to difficulties for numerical and perturbative schemes in quantum transport simulations of nano-devices.Cited by: 3

What is the name for the space of distributions over ...

    https://math.stackexchange.com/questions/241092/what-is-the-name-for-the-space-of-distributions-over-smooth-compactly-supported
    Is there a generally accepted name for the space of distributions over smooth compactly supported test functions $\mathcal{D}(\mathbb{R}^n)$? I know that distributions over the Schwartz space $\ma...

THEORY OF DISTRIBUTIONS

    https://www.mat.univie.ac.at/~stein/lehre/SoSem09/distrvo.pdf
    Next we de ne the support of a distribution and introduce the localization of a distribu-tion to an open set. We invoke partitions of unity to show that a distribution is uniquely determined by its localizations. Finally we discuss distributions with compact support and identify them with continuous linear forms on C∞. Moreover, we completely ...

Is the set of probability distributions on $R^n$ with ...

    https://math.stackexchange.com/questions/2579330/is-the-set-of-probability-distributions-on-rn-with-compact-support-sequence-c
    In the space of probability distributions, is the set of discrete distributions dense? 1 Is the set of probability distributions with two mass points and finite 4-th moment compact and closed in …

Function of compact support - Encyclopedia of Mathematics

    https://www.encyclopediaofmath.org/index.php/Function_of_compact_support
    The support of is the closure of the set of points for which is different from zero . Thus one can also say that a function of compact support in is a function defined on such that its support is a closed bounded set located at a distance from the boundary of by a number greater than , where is sufficiently small.

Quantum phase-space distributions with compact support ...

    https://www.researchgate.net/publication/241534432_Quantum_phase-space_distributions_with_compact_support
    Phase-space representations of quantum distributions such as the Wigner function and Kadanoff-Baym Green's functions do not have compact support which leads to difficulties for numerical and ...

real analysis - Distribution with compact support ...

    https://math.stackexchange.com/questions/1542866/distribution-with-compact-support
    Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share …



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