[1]

C. Berg, P. H. Maserick, Polynomially positive definite sequences. *Math. Ann*. **259** (1982), 487–495. MR660043 Zbl 0486.44004Google Scholar

[2]

J. Cimpric, S. Kuhlmann, C. Scheiderer, Sums of squares and moment problems in equivariant situations. *Trans. Amer. Math. Soc*. **361** (2009), 735–765. MR2452823 Zbl 1170.14041Google Scholar

[3]

S. Gindikin, L. R. Volevich, *The method of Newton’s polyhedron in the theory of partial differential equations*, volume 86 of *Mathematics and its Applications (Soviet Series)*. Kluwer 1992. MR1256484 Zbl 0779.35001Google Scholar

[4]

E. K. Haviland, On the Momentum Problem for Distribution Functions in More Than One Dimension. II. *Amer. J. Math*. **58** (1936), 164–168. MR1507139 Zbl 0015.10901JFM 62.0483.01Google Scholar

[5]

K. Kurdyka, M. Michalska, S. Spodzieja, Bifurcation values and stability of algebras of bounded polynomials. *Adv. Geom*. **14** (2014), 631–646. MR3276126 Zbl 1306.14028Google Scholar

[6]

M. Marshall, *Positive polynomials and sums of squares*, volume 146 of *Mathematical Surveys and Monographs*. Amer. Math. Soc. 2008. MR2383959 Zbl 1169.13001Google Scholar

[7]

M. Marshall, Polynomials non-negative on a strip. *Proc. Amer. Math. Soc*. **138** (2010), 1559–1567. MR2587439 Zbl 1189.14065Google Scholar

[8]

M. Michalska, Algebras of bounded polynomials on unbounded semialgebraic sets. PhD thesis, Grenoble and Lodz 2011.Google Scholar

[9]

M. Michalska, Curves testing boundedness of polynomials on subsets of the real plane. *J. Symbolic Comput*. **56** (2013), 107–124. MR3061711 Zbl 1304.14072Google Scholar

[10]

A. Nemethi, A. Zaharia, Milnor fibration at infinity. *Indag. Math. (N.S.)* **3** (1992), 323–335. MR118 6741 Zbl 0806.57021Google Scholar

[11]

D. Plaumann, Sums of squares on reducible real curves. *Math. Z*. **265** (2010), 777–797. MR2652535 Zbl 1205.14074Google Scholar

[12]

V. Powers, Positive polynomials and the moment problem for cylinders with compact cross-section. *J. Pure Appl. Algebra* **188** (2004), 217–226. MR2030815 Zbl 1035.14022Google Scholar

[13]

V. Powers, C. Scheiderer, The moment problem for non-compact semialgebraic sets. *Adv. Geom*. **1** (2001), 71–88. MR1823953 Zbl 0984.44012Google Scholar

[14]

M. Putinar, Positive polynomials on compact semi-algebraic sets. *Indiana Univ. Math. J*. **42** (1993), 969–984. MR1254128 Zbl 0796.12002Google Scholar

[15]

C. Scheiderer, Sums of squares on real algebraic curves. *Math. Z*. **245** (2003), 725–760. MR2020709 Zbl 1056.14078Google Scholar

[16]

C. Scheiderer, Sums of squares on real algebraic surfaces. *Manuscripta Math*. **119** (2006), 395–410. MR2223624 Zbl 1120.14047Google Scholar

[17]

C. Scheiderer, Positivity and sums of squares: a guide to recent results. In: *Emerging applications of algebraic geometry*, volume 149 of *IMA Vol. Math.Appl*., 271–324, Springer 2009. MR2500469 Zbl 1156.14328Google Scholar

[18]

K. Schmiidgen, The K-moment problem for compact semi-algebraic sets. *Math. Ann*. **289** (1991), 203–206. MR1092173 Zbl 0744.44008Google Scholar

[19]

K. Schmiidgen, On the moment problem of closed semi-algebraic sets. *J. Reine Angew. Math*. **558** (2003), 225–234. MR1979186 Zbl 1047.47012Google Scholar

[20]

M. Schweighofer, Global optimization of polynomials using gradient tentacles and sums of squares. *SIAMJ. Optim*. **17** (2006), 920–942. MR2257216 Zbl 1118.13026Google Scholar

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