Search Results - "Grigoryan, M."
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On Universal Fourier Series in the Walsh System
Published in Siberian mathematical journal (01-09-2022)“…We prove some theorems concerning the existence of functions whose Fourier series in the Walsh system are universal in the class of all measurable functions in…”
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On Almost Universal Double Fourier Series
Published in Proceedings of the Steklov Institute of Mathematics (01-12-2022)“…The first examples of universal trigonometric series in the class of measurable functions were constructed by D. E. Men’shov. As follows from Kolmogorov’s…”
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On the Convergence of Negative-Order Cesàro Means of Fourier and Fourier–Walsh Series
Published in Mathematical Notes (01-10-2022)Get full text
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On the Existence and Structure of Universal Functions
Published in Doklady. Mathematics (2021)“…The existence of functions the Fourier–Walsh series of which are universal in the sense of signs for the class of almost everywhere finite measurable…”
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On Fourier Series Almost Universal in the Class of Measurable Functions
Published in Journal of contemporary mathematical analysis (01-08-2022)“…In this work, a universal trigonometric series is constructed such that, after multiplying the terms of this series by some sequence of signs , it can be…”
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On Unconditional and Absolute Convergence of the Haar Series in the Metric of with
Published in Siberian mathematical journal (2021)“…We prove that there exists a universal Haar series of the form with such that, for all and , there is a numeric sequence or , , for which the series converges…”
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Stroke etiology and collaterals: atheroembolic strokes have greater collateral recruitment than cardioembolic strokes
Published in European journal of neurology (01-06-2017)“…Background and purpose Chronic hypoperfusion from athero‐stenotic lesions is thought to lead to better collateral recruitment compared to cardioembolic…”
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Functions Almost Universal in the Sense of Signs with Respect to the Trigonometric System and the Walsh System
Published in Mathematical Notes (01-06-2024)Get full text
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On the Absolute Convergence of Fourier–Haar Series in the Metric of Lp(0, 1), 0 < p < 1
Published in Journal of mathematical sciences (New York, N.Y.) (2019)“…It is proved that for every ∈ > 0 there exists a measurable set E ⊂ [0, 1] with measure | E | > 1 − ∈ such that for every function f ( x ) ∈ L[0, 1] one can…”
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On the existence and structure of universal functions for weighted spaces Lμ1[0,1]
Published in Journal of mathematical sciences (New York, N.Y.) (2023)“…In the paper it is shown that there exist a set E ⊂ [ 0 , 1 ] with the measure being arbitrarily close to 1 and a weighted function l t μ ( x ) ≤ 1 with μ ( x…”
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Menshov-Type Theorem for Divergence Sets of Sequences of Localized Operators
Published in Journal of contemporary mathematical analysis (01-04-2023)“…For a multiparameter sequence of suitably localized operators , , and a countable set , we construct a function such that the sequence diverges for and…”
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Universal functions with respect to the double Walsh system for classes of integrable functions
Published in Analysis mathematica (Budapest) (01-06-2020)“…The paper addresses questions on existence and structure of universal functions for spaces L 1 ( E ), E ⊂ [0, 1) 2 , with respect to the doubleWalsh system in…”
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Absolute Convergence of the Double Fourier-Franklin Series
Published in Siberian mathematical journal (01-05-2020)“…We prove that, for every 0 < ϵ < 1, there exists a measurable set E ⊂ T = [0, 1] 2 with measure ∣ E ∣ > 1 − ϵ such that, for all f ∈ L 1 ( T ) and 0 < η < 1,…”
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Transform-based image enhancement algorithms with performance measure
Published in IEEE transactions on image processing (01-03-2001)“…This paper presents a new class of the "frequency domain"-based signal/image enhancement algorithms including magnitude reduction, log-magnitude reduction,…”
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Opinion research among Russian Physicians on the application of technologies using artificial intelligence in the field of medicine and health care
Published in BMC health services research (13-07-2023)“…To date, no opinion surveys has been conducted among Russian physicians to study their awareness about artificial intelligence. With a survey, we aimed to…”
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Synthesis and Antiarrhythmic and Anticonvulsant Activities of Amino Amides and Amino Esters Based on 1-(4-Fluorophenyl)- and 1-[3-(Trifluoromethyl)phenyl]cyclopentane-1-carboxylic Acids
Published in Russian journal of organic chemistry (01-06-2024)“…The alkylation of 2-(4-fluorophenyl)- and 2-[3-(trifluoromethyl)phenyl]acetonitriles with 1,4-dibromobutane gave 1-(substituted…”
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Principle of Superposition by Direction Images
Published in IEEE transactions on image processing (01-09-2011)“…This paper discusses the decomposition of the image by direction images, which is based on the concept of the tensor representation and its advanced form, the…”
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Synthesis and Physicochemical Properties of New Terbium(III) and Gadolinium(III) Coordination Compounds with 3,5-Dialkoxybenzoic Acids
Published in Russian journal of general chemistry (01-11-2022)“…Electrochemical synthesis of new terbium(III) and gadolinium(III) coordination compounds with of 3,5-dialkoxybenzoic acids was carried out. It was established…”
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Floristic Findings and Revision of Aquatic Flora of the Kuril Archipelago Reveal no Clear Differences between Biogeographical Regions
Published in Inland water biology (01-12-2022)“…It is assumed that the influence of climatic factors on aquatic vascular plants is limited. We aimed to test this assumption on example of the Kuril…”
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