Results 271 to 280 of about 3,408 (306)

Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers

Banach Journal of Mathematical Analysis, 2021
Let $$\mathcal {M}_{X(\mathbb {R})}$$ be the Banach algebra of all Fourier multipliers on a Banach function space $$X(\mathbb {R})$$ such that the Hardy ...
Cláudio A. Fernandes   +2 more
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Multipliers of Fourier series [PDF]

open access: possibleUkrainian Mathematical Journal, 1991
New statements are proved regarding multipliers of trigonometric Fourier series in the space C of continuous periodic functions.
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Multipliers of Fourier Transforms [PDF]

open access: possible, 2002
In this chapter weighted Triebel-Lizorkin spaces are defined in a general settiing. The two-weighted criteria for fractional and singular integrals derived in the previous chapters enable us to develop a new approach to the theory of multipliers of Fourier transforms.
David E. Edmunds   +2 more
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Fourier-Haar Multipliers

1997
In this section we investigate multipliers with respect to the H.s. A sequence λ n , k , (n, k) ∈ Ω generates the operator $$ \Lambda (\sum\limits_{(n,k) \in \Omega } {{a_{n,k}}x_n^k} ) = \sum {{\lambda _{n,k}}{c_{n,k}}x_n^k} $$ (1) on the polynomials with respect to the H.s. Such operators are said to be multipliers.
Evgenij Semenov, Igor D. Novikov
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On multipliers of Fourier transforms

Mathematical Proceedings of the Cambridge Philosophical Society, 1972
In this paper G is a locally compact Abelian group, φ a complex-valued function defined on the dual Γ, Lp(G) (1 ≤ p ≤ ∞) the usual Lebesgue space of index p formed with respect to Haar measure, C(G) the set of all bounded continuous complex-valued functions on G, and C0(G) the set of all f ∈ C(G) which vanish at infinity.
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Operator Valued Fourier Multipliers

1999
Results on Fourier multipliers are important tools in the study of partial differential equations. They represent a major step, for example, when establishing a priori estimates for solutions of parabolic evolution equations of Agmon-Douglis-Nirenberg type [1].
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