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Lectures on Real-valued Functions

By Alexander Kharazishvili

Lectures on Real-valued Functions

By Alexander Kharazishvili

0 - Default Title
Description
This book offers several topics of mathematical analysis which are closely connected with significant properties of real-valued functions of various types (such as semi-continuous functions, monotone functions, convex functions, measurable functions, additive and linear functionals, etc.). Alongside with fairly traditional themes of real analysis and classical measure theory, more profound questions are thoroughly discussed in the book – appropriate extensions and restrictions of functions, oscillation functions and their characterization, discontinuous functions on resolvable topological spaces, pointwise limits of finite sums of periodic functions, some general results on invariant and quasi-invariant measures, the structure of non-measurable sets and functions, the Baire property of functions on topological spaces and its connections with measurability properties of functions, logical and set-theoretical aspects of the behavior of real-valued functions.
Product details
Number of Pages:
464
Release Date:
2025-07-23
Publication Date:
2025-07-23
Publisher:
Springer Nature Switzerland
Languages:
Original: English
ISBN10:
3031953681
ISBN13:
9783031953682
GPSR Manufacturer Reference:
[email protected]
Weight:
855 g
Height:
160 cm
Width:
241 cm
Thickness:
31 cm
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