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Fourier Multipliers and Singular Integrals on \(\mathbb {C}^{n}\)

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Singular Integrals and Fourier Theory on Lipschitz Boundaries
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Abstract

In this chapter, we introduce a class of singular integral operators on the n-complex unit sphere. This class of singular integral operators corresponds to bounded Fourier multipliers. Similar to the results of Chaps. 6 and 7, we also develop the fractional Fourier multiplier theory on the unit complex sphere.

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Qian, T., Li, P. (2019). Fourier Multipliers and Singular Integrals on \(\mathbb {C}^{n}\). In: Singular Integrals and Fourier Theory on Lipschitz Boundaries. Springer, Singapore. https://doi.org/10.1007/978-981-13-6500-3_8

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