arXiv Open Access 2024

Positive semidefinite analytic functions on real analytic surfaces

José F. Fernando

Lihat Sumber

Abstrak

Let $X\subset{\mathbb R}^n$ be a (global) real analytic surface. Then every positive semidefinite meromorphic function on $X$ is a sum of $10$ squares of meromorphic functions on $X$. As a consequence, we provide a real Nullstellensatz for (global) real analytic surfaces.

Topik & Kata Kunci

math.CV math.AG

Penulis (1)

José F. Fernando

Format Sitasi

APA MLA BibTeX

Fernando, J.F. (2024). Positive semidefinite analytic functions on real analytic surfaces. https://arxiv.org/abs/2401.12565

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓