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Results tagged with fa.functional-analysis
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user 389985
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
0
votes
Approximation of the product $(\bar{z} - a)^{-1} \cdot (z - b)^{-1}$
Answer
I am interested in forming a factorization for $f(z) = ({\bar{z} -a})^{-1} \cdot ({z -b}^{-1})$ of the following form
\begin{equation}
f(z) = \sum_{k=0}^\infty g_k(a,b) h_k(z, \overline{z}),
\e …
- 11
0
votes
1
answer
408
views
Approximation of the product $(\bar{z} - a)^{-1} \cdot (z - b)^{-1}$
$\def\zbar{\smash{\overline z}\vphantom z}$I would like to construct an approximation of the product
\begin{equation}
f(z) = \frac{1}{\zbar-a} \frac{1}{z-b},
\end{equation}
where $a, b \in \mathbb{C}$ …
- 11