منابع مشابه
On Non - Analytic Functions
In his retiring presidential address before the American Mathematical Society (December, 1931), E. R. Hedrick gave a resumé of the theory of non-analytic functions of a complex variable.f We propose in the present note to establish, with regard to these functions, some elementary properties that do not appear in the Hedrick report. (In the course of the work, however, some properties considered...
متن کاملNote on Polynomial Interpolation to Analytic Functions.
last upper and lower molars. Chumashius balchi cannot, therefore, be regarded as occurring in the direct line of development leading upward to the Recent tarsier. In lower dental formula Chumashius exhibits a closer relationship to Omomys and Hemi4codon than to Anaptomorphus and Tetonius. The character of the lower posterior premolars in Uintanius suffice to remove this Bridger genus from any c...
متن کاملNote on Functions Bounded and Analytic in the Unit Circle1
W. Gross [l ] was the first to give an example of an entire function w=<p(f) with the property that, for each complex number w, there exists an uncountable set of asymptotic paths along which <p(f) tends to w. We shall consider, in this note, the corresponding problem for functions analytic in the unit circle, U: \z\ < 1. Let <p(f) be the entire function constructed by Gross, and let L be one o...
متن کاملA NOTE ON GLOBAL p POWERS OF RIGID ANALYTIC FUNCTIONS
Assume that K is a perfect field of characteristic p > 0 that is complete with respect to an ultrametric valuation, and let X be a rigid analytic variety over K. Suppose that X is smooth and connected with respect to its Grothendieck topology. Let f be a (global) function on X the differential of which vanishes locally at some point of X; then f is the p power of a (global) function.
متن کاملA Note on Mixed Norm Spaces of Analytic Functions
A direct and elementary proof of an estimate of Littlewood is given together with an application concerning the sharpness and strictness of some inclusions in mixed norm spaces of analytic functions.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1935
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1935-06092-6