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An Approximation Theorem on Some Convex Domains

Kenzō Adachi

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Abstract

Let Ωbe a convex domain with real analytic boundary which is a generalized type of the complex ellipsoid. Then the approximation theorem in the HP-sense holds in Ω.

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What this paper is about

Let Ωbe a convex domain with real analytic boundary which is a generalized type of the complex ellipsoid. Then the approximation theorem in the HP-sense holds in Ω.

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Available abstract

Let Ωbe a convex domain with real analytic boundary which is a generalized type of the complex ellipsoid. Then the approximation theorem in the HP-sense holds in Ω.

Key concepts: Bounded function, Mathematics, Domain (mathematical analysis), Boundary (topology), Convex domain, Ellipsoid, Regular polygon, Type (biology)

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