Results 41 to 50 of about 1,239,655 (312)
Bounded Functions and Fourier Transforms [PDF]
Proceedings of the American Mathematical Society, 1958 1. Statement of the principal result. The class of sequences obtainable as Fourier coefficients of measures on the circle group presents numerous structure problems of interest. Amongst the earliest results somewhat akin to that stated below appear Banach's theorems about lacunary coefficients; see e.g., [4, pp. 215-220].
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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Density Bounds for Euler's Function [PDF]
Mathematics of Computation, 1972 Let φ \varphi be Euler’s function. Upper and lower bounds are presented for D ( x ) D(x) , the density of the integers n n for which φ ( n ) / n ≦ x \varphi (n)/n \leqq x . The bounds,
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Small values of the Euler function and the Riemann hypothesis
, 2012 Let $\vfi$ be Euler's function, $\ga$ be Euler's constant and $N_k$ be the product of the first $k$ primes. In this article, we consider the function $c(n) =(n/\vfi(n)-e^\ga\log\log n)\sqrt{\log n}$. Under Riemann's hypothesis, it is proved that $c(N_k)$
Nicolas, Jean-Louis
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Bounds for automorphicL-functions
Inventiones Mathematicae, 1993 Consider a Dirichlet character \(\chi\) of modulus \(q\) and the automorphic \(L\)-function obtained on twisting by \(\chi\) an arbitrary holomorphic cusp form \(f\) of weight \(k\) for the full modular group (although it is stated by the authors that the method of the paper applies more generally).
Iwaniec, H., Duke, W., Frielander, J.
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The group reduction for bounded cosine functions on UMD spaces
, 2007 It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(-A)^{1/2} generates a bounded C_0-group.
Haase, Markus
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Research on Bounded Rationality of Fuzzy Choice Functions
The Scientific World Journal, 2014 The rationality of a fuzzy choice function is a hot research topic in the study of fuzzy choice functions. In this paper, two common fuzzy sets are studied and analyzed in the framework of the Banerjee choice function.
Xinlin Wu, Yong Zhao
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Coefficient bounds for convex functions of bounded type [PDF]
Proceedings of the American Mathematical Society, 1988 A normalized univalent function is called convex of bounded type if the curvature of the curve bounding the image domain of the unit disc lies between two fixed positive numbers. Sharp bounds for the modulus of the second and the third Taylor coefficient of such functions are derived.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser +6 more
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Sheaf cohomology with bounds and bounded holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 1969 Suppose U is the unit disc in C. For O r }. A subvariety V of pure codimension 1 in UN is called a Rudin subvariety if for some r VnQN= 0. A Rudin subvariety is called a special Rudin subvariety if there is >0 such that, for 1 a. If a holomorphic function f generates the ideal-sheaf of its zero-set E, then we write Z(f) = E.
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