Sums of two squares in analytic rings
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Publication:1297992
DOI10.1007/PL00004692zbMath0930.32007OpenAlexW1973748215MaRDI QIDQ1297992
Publication date: 9 February 2000
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00004692
Germs of analytic sets, local parametrization (32B10) Analytic algebras and generalizations, preparation theorems (32B05)
Related Items (11)
On the Pythagoras numbers of real analytic set germs ⋮ Sums of squares in real rings ⋮ Positive semidefinite analytic functions on real analytic surfaces ⋮ Analytic surface germs with minimal Pythagoras number ⋮ On the positive extension property and Hilbert's 17th problem for real analytic sets ⋮ Continuous functions on the plane regular after one blowing-up ⋮ Sums of squares in real analytic rings ⋮ On the Pythagoras numbers of real analytic rings ⋮ Weighted sums of squares in local rings and their completions. I ⋮ Weighted sums of squares in local rings and their completions. II ⋮ Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings
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