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Analytic Discs and Uniform Algebras on Real-Analytic Varieties [PDF]
arXiv, 2017 Under very general conditions it is shown that if $A$ is a uniform algebra generated by real-analytic functions, then either $A$ consists of all continuous functions or else there exists a disc on which every function in $A$ is holomorphic. This strengthens several earlier results concerning uniform algebras generated by real-analytic functions.
arxiv
Development of the mapping function at an analytic corner [PDF]
, 1957 Robert S. Lehman
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On the expansion of analytic functions in series of polynomials [PDF]
, 1924 J. L. Walsh
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A SIMPLE DEFINITION OF ANALYTIC FUNCTIONS AND GENERAL MULTIFUNCTIONS [PDF]
, 1954 Karl Menger
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Spiral and Other Asymptotic Paths, and Paths of Complete Indetermination, of Analytic and Meromorphic Functions [PDF]
, 1953 F. Bagemihl, W. Seidel
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The Closed Ideals in an Algebra of Analytic Functions [PDF]
, 1957 Walter Rudin
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On Some Interesting Classes of Analytic Functions Related to Univalent Functions
MathematicsLet A¯ be the new general class of functions f(z) of the form f(z)=z+∑k=1∞a1+k2z1+k2 that are analytic in the open unit disc U. In the present paper, for f(z)∈A¯, we consider classes S∗¯(α), C¯(α) and R¯(α) and obtain some interesting properties of f(z ...
Hatun Özlem Güney +2 more
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Banach spaces of functions analytic in the unit circle, I [PDF]
, 1950 Angus E. Taylor
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