Mergelyan's theorem is a result from approximation by polynomials in complex analysis proved by the Armenian mathematician Sergei Mergelyan in 1951. Let...

Stone–Weierstrass theorem and described below. A different generalization of Weierstrass' original theorem is Mergelyan's theorem, which generalizes...

Approximation theory. The modern Complex Approximation Theory is based on Mergelyan's classical work. Corresponding Member of the Academy of Sciences of the...

Marden's theorem (polynomials) Mergelyan's theorem (complex analysis) Measurable Riemann mapping theorem (conformal mapping) Mittag-Leffler's theorem (complex...

truncated to give a polynomial approximation on K. Mergelyan's theorem Oka–Weil theorem Behnke–Stein theorem on Stein manifolds Conway, John B. (1997), A Course...

In mathematics, Arakelyan's theorem is a generalization of Mergelyan's theorem from compact subsets of an open subset of the complex plane to relatively...

¯ {\displaystyle {\bar {z}}} by a rational function. Runge's theorem Mergelyan's theorem Conway 2000 Conway, John B. (1995), Functions of one complex...

disk Mergelyan's theorem — generalization of Stone–Weierstrass theorem for polynomials Müntz–Szász theorem — variant of Stone–Weierstrass theorem for polynomials...

(6). National Academy of Sciences of Armenia: 3–5. (archived text) "Mergelyan theorem". Encyclopedia of Mathematics. Archived from the original on 19 July...

polynomials. Hence g lies in the weak closure of K, which is K itself. Mergelyan's theorem Orin J. Farrell received his PhD (under J. L. Walsh) from Harvard...

Oka–Weil theorem is a result about the uniform convergence of holomorphic functions on Stein spaces due to Kiyoshi Oka and André Weil. The Oka–Weil theorem states...

function space. One of the most famous examples of this kind of theorem is Mergelyan's theorem, which completely solves the problem in the class of holomorphic...

closure of Ω. As Walsh proved, in a result that was a precursor of Mergelyan's theorem, any holomorphic function on Ω that extends continuously to the closure...

rational approximation. Examples are extensions of Mergelyan's approximation theorem and the theorem of Frigyes Riesz and Marcel Riesz concerning measures...

Oka–Weil theorem is due to a work of André Weil in 1935 and Oka's work in 1937. Oka continued to work in the field, and proved Oka's coherence theorem in 1950...

preparation theorem. A generalization of this theorem using the same method as Hartogs was proved in 2007. From Hartogs's extension theorem the domain...

Her Master's thesis was titled "Extension of Weierstrass's Approximation Theorem to the complex plane and to an infinite interval". After that, she was...

different multianisotropic spaces, integral representations and embedding theorems for functions in multianisotropic spaces. Ghazaryan H.G, Hovhannisyan A...

work of 2013" competition, 2013 Winner of the first prize after Sergey Mergelyan for young scientists (Mathematics and Informatics) 2021 Winner of the...