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Results tagged with fa.functional-analysis
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user 22073
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
1
vote
1
answer
374
views
Solution of a PDE and its uniqueness
Hallo,
consider $f: U \times I \rightarrow \mathbb{R}$, where $U \subset \mathbb{R}^{n}$ and $0 \in I \subset \mathbb{R}$ be two open sets. I am looking for the solution $f$ of the following PDE
$\su …
- 339
3
votes
1
answer
1k
views
Constructing the imaginary part of a holomorphic function
Hallo,
Let $f: U \rightarrow \mathbb{R}$ be a analytic function, where $U \subset \mathbb{C}^{n}$ is a open set (paracompact, starshaped or convex i.e. sufficiently nice). Does there exist a function …
- 339
3
votes
2
answers
898
views
Corona Theorem in several variables
Hallo,
I have read about the Corona Theorem (see link:http://en.wikipedia.org/wiki/Corona_theorem). From this one ca deduce that: Let $f_{1}, ..., f_{n}$ be holomorphic bounded functions on the unit …
- 339
1
vote
1
answer
256
views
Flat connection, finite-dimensional space of covariant constant one forms
hallo,
I have the following question: Let $U\subset \mathbb{R}^{n}$ be an open subset. Furthermore, let $\nabla$ be a flat connection on $U$ (not necessary Levi-Civita). How can one show that the spa …
- 339