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math.FA2024
Distributions in spaces with thick submanifolds
Jiajia Ding, Jasson Vindas, Yunyun Yang
We present the construction of a theory of distributions (generalized functions) with a ``thick submanifold'', that is, a new theory of thick distributions on whose…
math.FA2020
Reconstruction of the one-dimensional thick distribution theory
Yunyun Yang
The theory of thick distributions (both in dimension 1 and in higher dimensions) was constructed in recent years [7, 27]. However this theory of distributions with one thick point…
math.FA2019★ 3 cited
The Fourier transform of thick distributions
Ricardo Estrada, Jasson Vindas, Yunyun Yang
We first construct a space whose elements are test functions defined in $\mathbb{R} _{\text{c}}^{n}=\mathbb{R}^{n}\cup\left\{…