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Maximum modulus confidence bands
Statistical Papers, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Withers, Christopher S. +1 more
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2011
In this lecture, we shall prove that a function analytic in a bounded domain and continuous up to and including its boundary attains its maximum modulus on the boundary. This result has direct applications to harmonic functions.
Ravi P. Agarwal +2 more
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In this lecture, we shall prove that a function analytic in a bounded domain and continuous up to and including its boundary attains its maximum modulus on the boundary. This result has direct applications to harmonic functions.
Ravi P. Agarwal +2 more
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Modulus maximum image energy using maximum entropy
47th International Symposium ELMAR, 2005., 2005A negative gradient of the image energy is a driving force, which controls the movement of an active contour. We might say that the final shape depends most on how well the image energy is defined. Traditional image energy models produce a limited range of the force and a poor vector filed definition for concave regions.
D. Heiric, D. Zazula
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Maximum Modulus Sets and Segre Convexity
Mathematische Nachrichten, 2001In this paper the authors investigate the relation between the Segre convexity of the boundary \( b\Omega\) of a domain \( \Omega\) in \(\mathbb C^{n}\) and the positivity of the (local) canonical defining function for \(( b \Omega, E, \mathcal F)\), where \(E\) is an \(n\)-dimensional, totally real submanifold of \( b\Omega\) foliated by interpolation
Cœuré, Gérard, Honvault, Pascal
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Local Maximum Modulus Property for Polyanalytic Functions
Complex Analysis and Operator Theory, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daghighi, Abtin, Krantz, Steven G.
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Maximum Modulus Theorem and Applications
2012The complex Maximum Modulus Principle has a perfect analog for regular functions, proven with the aid of the Splitting Lemma 1.3.
Graziano Gentili +2 more
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1973
This chapter continues the study of a property of analytic functions first seen in Theorem IV. 3.11. In the first section this theorem is presented again with a second proof, and other versions of it are also given. The remainder of the chapter is devoted to various extensions and applications of this maximum principle.
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This chapter continues the study of a property of analytic functions first seen in Theorem IV. 3.11. In the first section this theorem is presented again with a second proof, and other versions of it are also given. The remainder of the chapter is devoted to various extensions and applications of this maximum principle.
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Maximum modulus algebras and singularity sets
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1980SynopsisA classical theorem of Hartogs gives conditions on the singularity set of an analytic function of several complex variables in order for such a set to be an analytic variety. A result of E. Bishop from 1963 gives an analogous condition of the maximal ideal space of a uniform algebra in order for this space to have analytic structure.
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On the Maximum Modulus and the Mean Modulus of an Entire Function
Canadian Mathematical Bulletin, 1969Let be an entire function, but not a polynomial.
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Maximum modulus sets in pseudoconvex boundaries
Journal of Geometric Analysis, 1992We quote the author's abstract: ``Let \(D\) be a strictly pseudoconvex domain in \(\mathbb{C}^ n\) with \(C^ \infty\) boundary. We denote by \(A^ \infty(D)\) the set of holomorphic functions in \(D\) that have a \(C^ \infty\) extension to \(\overline D\).
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