Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
T-Systems and Positivity: The Impact on Real Algebraic Geometry and the Moment Problem

T-Systems and Positivity: The Impact on Real Algebraic Geometry and the Moment Problem

Di Dio, Philipp

Hardcover

General MathematicsGeometry

PREORDER - Expected ship date February 24, 2027

ISBN10: 3032416329
ISBN13: 9783032416322
Publisher: Birkhauser
Published: Feb 24 2027
Pages: 219
Language: English

This book explores Tchebycheff systems (T-systems) and their profound influence on real algebraic geometry and its dual counterpart, the moment problem. Non-negative polynomials play a fundamental role in real algebraic geometry, with important applications in optimization, mathematical programming, and algorithm design. Although the moment problem and positivity theory have been studied extensively, a key part of the literature has remained largely incomplete, namely, Samuel Karlin's Positivstellensätze and Nichtnegativstellensätze. The current book closes this missing gap by providing a systematic and self-contained treatment of Karlin's Positivstellensätze and Nichtnegativstellensätze as well as demonstrating the significance of these results for both real algebraic geometry and moment theory. The book focuses on three main topics:

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