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About estimates on number of squares necessary to represent a positive- definite analytic function

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Publication:757522
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DOI10.1007/BF01292928zbMath0723.14043MaRDI QIDQ757522

Piotr Jaworski

Publication date: 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

Hilbert's 17th problemsum of squarespositive definite germ of an analytic functionsingular points of a germ of a function


Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Nash functions and manifolds (14P20) Real-analytic manifolds, real-analytic spaces (32C05)


Related Items (4)

Positive semidefinite analytic functions on real analytic surfaces ⋮ On the finiteness of Pythagoras numbers of real meromorphic functions ⋮ On the Pythagoras numbers of real analytic rings ⋮ On the Pythagoras numbers of real analytic surfaces☆



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