Results 101 to 110 of about 627,768 (311)
On the Existence of Certain Singular Integrals [PDF]
Acta Mathematica, 1952 Let f (x) and K (x) be two functions integrable over the interval (-∞,+∞). It is very well known that their composition $$ \int\limits_{{ - \infty }}^{{ + \infty }} {f(t)K\left( {x - t} \right)dt} $$ exists, as an absolutely convergent integral, for almost every x.
Calderon, A. P., Zygmund, A.
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On a Local Mean Oscillation Decomposition [PDF]
, 2012 In this note we generate two local median oscillation decompositions of an arbitrary measurable function and discuss some applications to Calder\'{o}n-Zygmund singular integral operators $T$. These applications rely on the inequality $M^{\sharp}_{0,s}(Tf)
Poelhuis, Jonathan, Torchinsky, Alberto
core
Singularities of Feynman integrals
The European Physical Journal Special TopicsJournal ...
Tanay Pathak, Ramesh Sreekantan
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International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
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Advanced Biology, EarlyView.The axolotl's remarkable regenerative abilities decline with age, the causes may include the numerous repetitive elements within its genome. This study uncovers how Ty3 retrotransposons and coexpression networks involving muscle and immune pathways respond to aging and regeneration, suggesting that transposons respond to physiological shifts and may ...
Samuel Ruiz‐Pérez +8 more
wiley +1 more source
Advanced Biology, EarlyView.Extracellular vesicles (EVs) play a dual role in diagnostics and therapeutics, offering innovative solutions for treating cancer, cardiovascular, neurodegenerative, and orthopedic diseases. This review highlights EVs’ potential to revolutionize personalized medicine through specific applications in disease detection and treatment.
Farbod Ebrahimi +4 more
wiley +1 more source
Weighted norm inequalities for a class of rough singular integrals
International Journal of Mathematics and Mathematical Sciences, 2005 Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator.
H. M. Al-Qassem
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Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture
Advanced Engineering Materials, EarlyView.Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee +3 more
wiley +1 more source
Fractal and FractionalThis work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE) with
Sameeha A. Raad, Mohammed A. Abdou
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Generalized Picard singular integrals
Computers & Mathematics with Applications, 2009 AbstractIn this article, we introduce and study a new type of Picard singular integral operators on Rn constructed by means of the concept of the nonisotropic β-distance and the q-exponential functions. The central role here is played by the concept of nonisotropic β-distance, which allows one to improve and generalize the results given for classical ...
Anastassiou, George A., Aral, Ali
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