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Separating Singularities of Holomorphic Functions
Canadian Mathematical Bulletin, 1998AbstractWe present a short proof for a classical result on separating singularities of holomorphic functions. The proof is based on the open mapping theorem and the fusion lemma of Roth, which is a basic tool in complex approximation theory. The same method yields similar separation results for other classes of functions.
Müller, Jürgen, Wengenroth, Jochen
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On Singular Functional Differential Inequalities
gmj, 1997Abstract Classical theorems on differential inequalities [Coddington and Levinson, Theory of ordinary differential equations, Mc Graw-Hill Book Company, Inc., 1995, Hartman, Ordinary differential equations, John Wiley & Sons, 1964, Walter, Differential and integral inequalities, Springer-Verlag, 1970] are generalized for initial ...
Kiguradze, I., Sokhadze, Z.
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Singular, Hierarchical Scalar Basis Functions for Triangular Cells
IEEE Transactions on Antennas and Propagation, 2013 A new family of hierarchical basis functions is proposed for triangular cells. These functions incorporate singular behavior to model fields with corner singularities.
Ladislau Matekovits +2 more
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Canadian Journal of Mathematics, 1956
1. Introduction. In a joint paper with Leighton (2), the author considered quadratic functionals of the type1.1 (0 < a < b)in which x = 0 is a singular point of the functional which is otherwise regular on [0, b]. The hypothesis on a regular functional includes the assumption that r is continuous and positive on a closed interval [0, b].
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1. Introduction. In a joint paper with Leighton (2), the author considered quadratic functionals of the type1.1 (0 < a < b)in which x = 0 is a singular point of the functional which is otherwise regular on [0, b]. The hypothesis on a regular functional includes the assumption that r is continuous and positive on a closed interval [0, b].
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On the detection of singularities of a periodic function
Advances in Computational Mathematics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hrushikesh Narhar Mhaskar +1 more
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Canadian Journal of Mathematics, 1968
Kakutani (2) has proved a very general theorem, giving necessary and sufficient conditions for two infinite product measures to be mutually absolutely continuous. To formulate Kakutani's result, let us first recall that a measurable space is a pair (E, B), where B denotes a Borel field (also called σ-ring) of subsets of E, and a measure m on this space
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Kakutani (2) has proved a very general theorem, giving necessary and sufficient conditions for two infinite product measures to be mutually absolutely continuous. To formulate Kakutani's result, let us first recall that a measurable space is a pair (E, B), where B denotes a Borel field (also called σ-ring) of subsets of E, and a measure m on this space
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ON CONTINUATION OF FUNCTIONS WITH POLAR SINGULARITIES
Mathematics of the USSR-Sbornik, 1988See the review in Zbl 0617.32018.
Sadullaev, A., Chirka, E. M.
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ALGEBRAIC FUNCTIONS WITH SEPARATED SINGULARITIES
Mathematics of the USSR-Izvestiya, 1971In this article we consider irreducible algebraic functions of several complex variables. Among them we distinguish a class of algebraic functions with separated singularities and give a description of this class.
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ISOLATION OF SINGULARITIES OF THE GREEN'S FUNCTION
Mathematics of the USSR-Izvestiya, 1967A method is given for constructing the Green's function for general boundary-value problems for elliptic equations. Pointwise estimates are proved for the Green's function in a closed region. A representation of an arbitrary solution of the boundary-value problem is derived, which permits the explicit construction of the irregular part of the solution ...
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Singular Strictly Monotone Functions
Mathematical Notes, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryabinin, A. A. +2 more
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