Functions and Analysis

    

A Story of a Function

Authors: Andrej Liptaj

We dedicate this text to a study of a function with interesting properties: besides being, by construction, well suited for a certain type of approximations, the function happens to be lacunary, i.e. without analytic continuation outside the complex unit disk. It however satisfies a functional equation which can be (with some restriction) solved everywhere except the origin. Unfortunately, this solution cannot be understood as its natural continuation beyond the disk.

Comments: 24 Pages.

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Submission history

[v1] 2025-02-13 09:49:05
[v2] 2025-12-12 11:44:02

Unique-IP document downloads: 334 times

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