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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

1 vote
1 answer
106 views

A unitary matrix of functions [closed]

If $A(z)=[A_{ij} (z)] $ is an $n\times n$ unitary matrix valued functions. Is there a characterization of such matrix if: (1) the entries are analytic functions on a set $D$. and (2) if the ent …
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0 votes
1 answer
734 views

Real part of entire function property

Is there any characterization of the set of entire functions $f(z) $ such that $\Re(f(z)) \geq \Re(\overline{f(\bar{z})})$ for all $z\in \mathbb{C}^{+} $? ($\Re$ stands for the real part) Edit: I wa …
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