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Bounded Functions and Fourier Transforms [PDF]
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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Triangle-free intersection graphs of line segments with large chromatic number [PDF]
In the 1970s, Erdos asked whether the chromatic number of intersection graphs of line segments in the plane is bounded by a function of their clique number. We show the answer is no.
Arkadiusz Pawlik +20 more
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Approximation Algorithms for Complex-Valued Ising Models on Bounded Degree Graphs [PDF]
We study the problem of approximating the Ising model partition function with complex parameters on bounded degree graphs. We establish a deterministic polynomial-time approximation scheme for the partition function when the interactions and external ...
Ryan L. Mann, Michael J. Bremner
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In this paper, we design a robust model predictive control (MPC) controller for vehicle subjected to bounded model uncertainties, norm-bounded external disturbances and bounded time-varying delay. A Lyapunov-Razumikhin function (LRF) is adopted to ensure
Wenjun Liu +3 more
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Density Bounds for Euler's Function [PDF]
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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Bounds for automorphicL-functions
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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Coefficient bounds for convex functions of bounded type [PDF]
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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In (J. Funct. Anal. 257, 1092-1132 (2009)), Dykema and Skripka showed the existence of higher order spectral shift functions when the unperturbed self-adjoint operator is bounded and the perturbations is Hilbert-Schmidt.
Chattopadhyay, Arup, Sinha, Kalyan B.
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Clinical Insights Into Hypercalcemia of Malignancy in Childhood
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
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Sheaf cohomology with bounds and bounded holomorphic functions [PDF]
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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