Abstract

Publisher Summary This chapter discusses an interpolation method of linear operators on functions in a product measure space and applies it to some problems arising in Fourier analysis on Euclidean space. For a function f on the d-dimensional Euclidean space Rd and ɛ ≥ 0 let sɛ (f) be the Riesz-Bochner mean of order, which is defined by the Fourier transform.

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