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Interpolation is the theory of constructing smooth functions, usually polynomials or trigonometric polynomials, whose graph passes through a number of given points in the plane. Splines and Bézier curves, piecewise linear or cubic interpolation, Lagrange and Hermite interpolation are example topics.

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How is interpolation used in the proof of Lemma 4.1 in Tao's article Endpoint Strichartz Est...

This is due to interpolation for bilinear forms, according to the expression in the article. Question. I wonder what is interpolation for bilinear forms and how it is used here. … I merely heard of interpolation for operators between function spaces, and interpolation for functionals of single variable as well. But never saw interpolation for bilinear forms before... …