Nature

Harmonic Analysis and Singular Integral Operators

Harmonic analysis is a broad field central to understanding the representation of functions through basic waves and their associated transformations, with profound connections to Fourier analysis, ...
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Integral Representation of Linear Continuous Operators from the Space of Lebesgue-Bochner Summable Functions into any Banach Space

Proceedings of the National Academy of Sciences of the United States of America, Vol. 54, No. 2 (Aug. 15, 1965), pp. 351-354 (4 pages) ...
Nature

Non-Homogeneous Metric Measure Spaces and Integral Operators

Non-homogeneous metric measure spaces provide a versatile framework for extending classical harmonic analysis to settings where the underlying measure does not satisfy the usual doubling property.
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Differential Operators Commuting with Finite Convolution Integral Operators: Some Non-Abelian Examples

SIAM Journal on Applied Mathematics, Vol. 42, No. 5 (Oct., 1982), pp. 941-955 (15 pages) Slepian, Landau and Pollak found that a certain finite convolution integral operator on the real line commutes ...