tempered distributions
Matemática
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substantivo
Contexto: "For $s\in\mathbb{R}$, the Homogeneous Sobolev Space $\dot{H}^s (\mathbb{R}^3,\mathbb{R}^3)$ is the space of tempered distributios $f$ for which $||f||_{\dot{H}^s}:=\sqrt{\int_{\mathbb{R}^3}|\xi|^{2s}|\hat{f}(\xi)|^2 d\xi}<+\infty.$"
Fonte: Marcon, D., Melo, W., Schütz, L., & Ziebell, J. S. (2017). Lower bounds of solutions of the Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 5(1).
Fonte: Marcon, D., Melo, W., Schütz, L., & Ziebell, J. S. (2017). Lower bounds of solutions of the Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 5(1).
Termo equivalente: distribuições temperadas
Definição: "Tempered distributions is studied through multiresolution analysis on the corresponding test function spaces $S_r(\mathbb{R}), r\in \mathbb{N}_0$."
Fonte: Pilipović, S., & Teofanov, N. (2007). Multiresolution expansion, approximation order and quasiasymptotic behavior of tempered distributions. Journal of mathematical analysis and applications, 331(1), 455-471.
Fonte: Pilipović, S., & Teofanov, N. (2007). Multiresolution expansion, approximation order and quasiasymptotic behavior of tempered distributions. Journal of mathematical analysis and applications, 331(1), 455-471.
Definição em português: "Distribuições temperadas são estudadas através de análise multiresolução nos espaços de função de teste correspondentes $S_r(\mathbb{R}), r\in \mathbb{N}_0$."