Some types of lacunary Fourier series
M. Bożejko, T. Pytlik (1972)
Colloquium Mathematicae
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Displaying similar documents to “Global mild solutions of the micropolar fluid system in critical spaces”
Some types of lacunary Fourier series
Über positive Fourier-Integrale
M. Mathias (1923)
Mathematische Zeitschrift
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Local existence of solutions for an aggregation equation in Besov spaces
Qian Zhang (2011)
Colloquium Mathematicae
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We prove the local in time existence of solutions for an aggregation equation in Besov spaces. The Fourier localization technique and Littlewood-Paley theory are the main tools used in the proof.
An estimate of the Fourier coefficients of functions belonging to the Besov class.
Beriša, Muharem C. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Erratum to "A class of Fourier multipliers on H¹(ℝ²)" (Studia Math. 140 (2000), 289-298)
M. Wojciechowski (2002)
Studia Mathematica
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Everywhere divergent Fourier series
T. W. Körner (1981)
Colloquium Mathematicae
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Algebrability of the set of non-convergent Fourier series
Richard M. Aron, David Pérez-García, Juan B. Seoane-Sepúlveda (2006)
Studia Mathematica
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We show that, given a set E ⊂ 𝕋 of measure zero, the set of continuous functions whose Fourier series expansion is divergent at any point t ∈ E is dense-algebrable, i.e. there exists an infinite-dimensional, infinitely generated dense subalgebra of 𝓒(𝕋) every non-zero element of which has a Fourier series expansion divergent in E.
Book review. Alois Kufner, Jan Kadles: Fourier Series
(1970)
Czechoslovak Mathematical Journal
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Hardy Spaces on the Plane and Double Fourier Transforms.
Dang Vu Giang, Ferenc Móricz (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Corrected Fourier series and its application to function approximation.
Zhang, Qing-Hua, Chen, Shuiming, Qu, Yuanyuan (2005)
International Journal of Mathematics and Mathematical Sciences
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Boehmians of type S and their Fourier transforms
R. Bhuvaneswari, V. Karunakaran (2010)
Annales UMCS, Mathematica
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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
Boehmians of type S and their Fourier transforms
R. Bhuvaneswari, V. Karunakaran (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
Fast Fourier analysis for over a finite field and related numerical experiments.
Lafferty, John D., Rockmore, Daniel (1992)
Experimental Mathematics
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Pointwise Fourier Inversion and Localization in ...
Anthony Carbery, Fernando Soria (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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On bilinear Littlewood-Paley square functions.
Michael T. Lacey (1996)
Publicacions Matemàtiques
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On the real line, let the Fourier transform of kn be k'n(ξ) = k'(ξ-n) where k'(ξ) is a smooth compactly supported function. Consider the bilinear operators Sn(f, g)(x) = ∫ f(x+y)g(x-y)kn(y) dy. If 2 ≤ p, q ≤ ∞, with 1/p + 1/q = 1/2, I prove that Σ∞ n=-∞ ||Sn(f,g)||2 2...