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Subharmonic Almost Periodic Functions
We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a horizontal strip. We also prove that Fourier coefficients of these functions are continuous functions in Im z.
Rakhnin, A.V., Favorov, S.Yu.
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Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions [PDF]
For Banach space valued functions the definition of almost periodicity is introduced using the density of \(\varepsilon\)-almost periods in \(\mathbb R\). This definition is equivalent to the definition given by S. Bochner. The structure of Fourier exponents and of the range of almost periodic functions is studied in the paper and it is shown that the ...
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On the existence of almost periodic solutions of neutral functional differential equations
This paper discusses the existence of almost periodic solutions of neutral functional differential equations. Using a Liapunov function and the Razumikhin's technique, we obtain the existence, uniqueness and stability of almost periodic solutions.
J. Xu, Zicheng Wang, Z. Zheng
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Discrete complex exponentials are almost periodic signals, not always periodic; when periodic, the frequency determines the period, but not viceversa, the period being a chaotic function of the frequency, expressible in terms of Thomae's function.
Alfredo Restrepo +2 more
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We investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form (x(t)+x(t−1))′′=qx(2[(t+1)/2])+f(t), where [⋅] denotes the greatest ...
Chuanyi Zhang, Li Wang
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On nth-order differential operators with Bohr-Neugebauer type property
Suppose B is a bounded linear operator in a Banach space. If the differential operator dndtn−B has a Bohr-Neugebauer type property for Bochner almost periodic functions, then, for any Stepanov almost periodic continuous function g(t) and any Stepanov ...
Aribindi Satyanarayan Rao
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ABSTRACT Background Acute lymphoblastic leukemia (ALL) is the most common pediatric cancer, with an overall survival now surpassing 90% in developed countries. However, treatments are not without adverse effects. In this study, we apply the severe toxicity‐free survival (STFS) framework to determine the prevalence of 21 physician‐defined severe ...
Lane Collier +10 more
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ABSTRACT Background Type 1 plasminogen deficiency (PLGD‐1) is an ultra‐rare autosomal recessive disorder caused by variants in the PLG gene and affects approximately 1.6 individuals per million. The condition is characterized by decreased plasminogen levels and impaired function, resulting in fibrin‐rich lesions on mucous membranes throughout the body.
Charles Nakar +7 more
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Almost Periodic Functions in Groups
Not ...
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ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei +17 more
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