Orthogonality of the bilinear Fourier multiplier in the modulation spaces

Guo, Weichao; Zhao, Guoping; Zhao, Wenzhu

doi:10.1360/n012017-00137

Sci. Sin.-Math.

2018

DOI: 10.1360/n012017-00137

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Orthogonality of the bilinear Fourier multiplier in the modulation spaces

Weichao Guo¹,

Guoping Zhao²,

Wenzhu Zhao³

Abstract: V ϕ f (x, ξ) = ⟨f, M ξ T x ϕ⟩ = ∫ R n f (y)ϕ(y − x)e −2πiy•ξ dy, (1.1) 其中第二个等号仅对比较好的函数 f (如 Schwartz 函数) 成立.

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Orthogonality of the bilinear Fourier multiplier in the modulation spaces

Abstract: V ϕ f (x, ξ) = ⟨f, M ξ T x ϕ⟩ = ∫ R n f (y)ϕ(y − x)e −2πiy•ξ dy, (1.1) 其中第二个等号仅对比较好的函数 f (如 Schwartz 函数) 成立.

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References 20 publications

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