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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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Russian Equivalent of Big Rudin

Functional analysis: S. S. Kutateladze Fundamentals of Functional Analysis Complex analysis: Yu. V. Sidorov, M. V. Fedoryuk, M. I. Shabunin Lectures On The Theory Of Functions Of A Complex Variable …
Dzerzhinsky86's user avatar
2 votes
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Function in $B(\mathbb{R})$

Denote by $B(\mathbb{R})$ the set of all functions on $\mathbb{R}$ which are representable in the form $f(x)=\int_{\mathbb{R}}e^{itx}d\mu(t)$, where $\mu$ is a finite complex-valued Borel measure. Q …