Functional Analysis Answers

Questions: 124

Free Answers by our Experts: 93

Ask Your question

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Search & Filtering

Let TES^1. Prove that for all φES, (T*φ)^ = (2π)^(n/2)(φ-hat)(T-hat).
Let TES^1. Prove that for all φES, (T*φ)^ = (2π)^(n/2)(φ-hat)(T-hat).
Let TES^1. Prove that for all multi-indices a, (D^(a)T)^ = x^(a)T-hat.
Let T be a tempered distribution. Then for all multi-indices a, we define ∂^(a)T to be the linear functional on S by (∂^(a)T)(φ) = (-1)^(|a|)T(∂^(a)φ), φES. Prove that ∂^(a)T is a tempered distribution.
If f(x) = f(y) for every bounded linear functional f on a normed space X, show that x = y.
Let X be a normed space and X' its dual space. If X¢{O}, show that X' cannot be {O}.
show that if the endpoints of the circle in the above problem lie on the x-axis then the circular Arc must have a vertical tangent at the endpoints
show that the addition of the type dg/dx to the integrand function leaves the euler equation in the same form
Show that p(x)=lim(€n) where x=(€n) belongs to l(infinity) defines a sublinear functional on l(infinity)
New on Blog