6,362 research outputs found

    Weighted bounds for variational Fourier series

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    For 1<p<infty and for weight w in A_p, we show that the r-variation of the Fourier sums of any function in L^p(w) is finite a.e. for r larger than a finite constant depending on w and p. The fact that the variation exponent depends on w is necessary. This strengthens previous work of Hunt-Young and is a weighted extension of a variational Carleson theorem of Oberlin-Seeger-Tao-Thiele-Wright. The proof uses weighted adaptation of phase plane analysis and a weighted extension of a variational inequality of Lepingle.Comment: 31 pages. v2: Minor changes. To appear in Studia Mat

    On the Convergence of Lacunary Walsh-Fourier Series

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    We study the Walsh-Fourier series of S_{n_j}f, along a lacunary subsequence of integers {n_j}. Under a suitable integrability condition, we show that the sequence converges to f a.e. Integral condition is only slightly larger than what the sharp integrability condition would be, by a result of Konyagin. The condition is: f is in L loglog L (logloglog L). The method of proof uses four ingredients, (1) analysis on the Walsh Phase Plane, (2) the new multi-frequency Calderon-Zygmund Decomposition of Nazarov-Oberlin-Thiele, (3) a classical inequality of Zygmund, giving an improvement in the Hausdorff-Young inequality for lacunary subsequences of integers, and (4) the extrapolation method of Carro-Martin, which generalizes the work of Antonov and Arias-de-Reyna.Comment: 18 pages. v2: Several typos corrected. Final version of the paper, accepted to LM

    Land-tenure policy reforms: Decollectivization and the Doi Moi system in Vietnam

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    millions fed, food security, rice, Land tenure, Land reform, Doi Moi, Decollectivization,

    Effects of international gold market on stock exchange volatility: evidence from asean emerging stock markets

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    This paper examines behaviors of returns and volatility of ASEAN emerging stock markets (Indonesia, Malaysia, Philippines, Thailand and Vietnam), incorporating with the effects from the international gold market. The estimates of GARCH(1,1) and GJR(1,1) for these stock markets indicate that the GJR(1,1) model is preferred to GARCH(1,1), except Vietnam. However, under the exogenous effects from international gold market such as the 1 day lagged returns and the 1 day lagged volatility of gold, the GARCH(1,1)-X model captures better stock market volatility behavior than GJR(1,1)-X, except Indonesia. Interestingly, gold could be a substitute commodity for stocks in Vietnam and the Philippines, while it could be a complement for stocks in Indonesia, Thailand and Malaysia.Volatility, GARCH-X, Gold effects, ASEAN emerging stock markets

    Multisite Repetitive Transcranial Magnetic Stimulation: Safety, Feasibility, Tolerability, and Electro-Neurophysiology

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    The thesis investigated the potential clinical application and measurement of multisite priming repetitive transcranial magnetic stimulation (rTMS) protocols. The findings showed that multisite rTMS protocols are safe and tolerable. Furthermore, the neuro-modulatory effects of rTMS are highly variable but can be characterised using multi-modal techniques

    Dexmedetomidine (Precedex) Induced Fever

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    Precedex is an intravenous, α-2 receptor agonist broadly used for analgesia, maintenance of sedation, and alcohol withdrawal treatment in the intensive care unit (ICU). The most commonly reported adverse effects associated with precedex are hypotension and bradycardia1. Fever has been reported with a 5-7% incidence rate. Our case shows a very impressive pyrexia in a 49 year old patient most likely associated to Precedex. When compared to the previously three reported cases his fever reached the largest value (T= 107ºF). As its use becomes more and more common in the ICU, clinicians should be aware of this adverse effect especially in patients whose fevers are refractory to acetaminophen and temperatures that are higher than 104ºF
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