Osipov, N. N. On minimal cubature formulas with the trigonometric \(d\)-property in the two-dimensional case. (Russian, English) Zbl 1079.41029 Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 8-16 (2005); translation in Comput. Math. Math. Phys. 45, No. 1, 5-12 (2005). The author presents a description of all minimal cubature formulas with trigonometric \(d\)-property for two-dimensional polynomials and \(d\) an odd number. For even \(d\) a description of all minimal lattice cubature formulas with the trigonometric \(d\)-property is given . Reviewer: Andrei Zemskov (Moskva) MSC: 41A55 Approximate quadratures 65D30 Numerical integration Keywords:minimal cubature formulas; trigonometric \(d\)-property; lattice cubature formulas; polynomials; Gram matrix; Mueller boundary PDF BibTeX XML Cite \textit{N. N. Osipov}, Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 8--16 (2005; Zbl 1079.41029); translation in Comput. Math. Math. Phys. 45, No. 1, 5--12 (2005) Full Text: Link