|
This article is cited in 2 scientific papers (total in 2 papers)
Cohomologies of spaces of Schwartz test functions
V. V. Zharinov Steklov Mathematical Institute, RAS, Moscow
Abstract:
We calculate cohomologies of the Schwartz algebras $\mathcal{D}$ and $\mathcal{S}$, which are basic spaces (test-function spaces) of the distribution theory. In the process, we find special cohomologies of the quotient algebras $\mathcal{E}/\mathcal{D}$ and $\mathcal{M}/\mathcal{S}$ ($\mathcal{E}$ and $\mathcal{M}$ are also test-function spaces), which are quite unusual from the standpoint of the standard functional analysis and are interesting for theoretical and mathematical physics.
Keywords:
Schwartz distribution, cohomology, spherical representation.
Received: 10.05.2011
Citation:
V. V. Zharinov, “Cohomologies of spaces of Schwartz test functions”, TMF, 170:3 (2012), 323–334; Theoret. and Math. Phys., 170:3 (2012), 263–273
Linking options:
https://www.mathnet.ru/eng/tmf6769https://doi.org/10.4213/tmf6769 https://www.mathnet.ru/eng/tmf/v170/i3/p323
|
|