The ring of real-valued multivariate polynomials: an analyst's perspective

Autor: Rudolf Rupp, Raymond Mortini

Publikováno v: The Corona Problem, connections between operator theory, function theory and geometry
The Corona Problem, connections between operator theory, function theory and geometry, Douglas, Krantz, Sawyer, Treil, Wick, 2012, Fields Instiute, Canada. pp.153-176, ⟨10.1007/978-1-4939-1255-1_8⟩
Fields Institute Communications ISBN: 9781493912544

In this survey we determine an explicit set of generators of the maximal ideals in the ring $\mathbb R[x_1,\dots,x_n]$ of polynomials in $n$ variables with real coefficients and give an easy analytic proof of the Bass-Vasershtein theorem on the Bass

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