Restrictions and extensions of Fourier multipliers
Max Jodeit (1970)
Studia Mathematica
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Displaying similar documents to “Rearrangements of periodic multiplicative orthogonal series”
Restrictions and extensions of Fourier multipliers
A Characterization of Fourier Series of Stepanov Almost-Periodic Functions.
G.T. LaVarnway, R. Cooke (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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On a condition for almost everywhere Bochner-Riesz summability of multiple Fourier series
Chao-Ping Chang (1967)
Studia Mathematica
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Pointwise convergence of multiplier operators
Douglas S. Kurtz (1990)
Colloquium Mathematicae
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A note on convergence to infinity of Fourier series
A. Olevskiĭ (1990)
Colloquium Mathematicae
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Fourier analysis in Marcinkiewicz spaces
K. Urbanik (1961)
Studia Mathematica
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Periodic solutions of an abstract third-order differential equation
Verónica Poblete, Juan C. Pozo (2013)
Studia Mathematica
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Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third-order differential equation αu'''(t) + u''(t) = βAu(t) + γBu'(t) + f(t) with boundary conditions u(0) = u(2π), u'(0) = u'(2π) and u''(0) = u''(2π), where A and B are closed linear operators defined on a Banach space X, α,β,γ ∈ ℝ₊, and f belongs to either periodic Lebesgue spaces, or periodic Besov spaces, or periodic Triebel-Lizorkin spaces.
On the Fourier coefficients of a function of Lambda-bounded variation.
Shiba, Masaaki (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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On Almost-periodical Solutions of an Equation
Julka Knežević-Miljanović (1994)
Matematički Vesnik
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Periodic Boehmians.
Nemzer, Dennis (1989)
International Journal of Mathematics and Mathematical Sciences
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On the Fourier series of Stepanov almost periodic functions
HANS TORNEHAVE (1954)
Mathematica Scandinavica
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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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Absolute convergence of the double series of Fourier-Haar coefficients.
Aplakov, Alexander (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Periodic solutions of degenerate differential equations in vector-valued function spaces
Carlos Lizama, Rodrigo Ponce (2011)
Studia Mathematica
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Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multiplier theorems, we obtain necessary and sufficient conditions for the existence and uniqueness of periodic solutions to the equation d/dt(Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our results are obtained in the scales of periodic Besov and periodic Lebesgue vector-valued spaces. ...