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Results tagged with schwartz-distributions
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user 98395
A distribution is a continuous linear functional on the space $\mathcal{C}^{\infty}_c$ of smooth (indefinitely differentiable) functions with compact support. Though they appeared in formal computations in the physics and engineering literature in the late $19^{th}$ century, their formal setting was brought up by the work of S. Sobolev and L. Schwartz in the middle of the $20^{th}$ century.
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can I integrate product or square of a white noise in any sense?
Assume that we have $\epsilon_1, \; \epsilon_2$ independent white noises.
Can I write $\int_{0}^1 \epsilon_1^2(t)dt$
Can I write $\int_{0}^1 \epsilon_1(t) \epsilon_2(t)dt$
1 and 2 obviously make n …
