Applications of Time-frequency Analysis in Ergodic Theory
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چکیده
The classical paradigm of Calderon and Zygmund provides a set of techniques invariant under translations and dilations that allow to prove estimates for operators acting on function spaces on IR. We focus on the real line as underlying space and further concentrate on estimates for operators that are themselves invariant under translation and dilation. The only such operators bounded on L(R) are the linear combinations of the identity operator and the Hilbert transform
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