Pseudoconformal Transformation

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The pseudoconformal transformation

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle u(t,x) \to v(\tau, y) = \frac{|\tau|^{-\frac{d}{2}} e^{i |y|^2}{4t} u ( - \frac{1}{\tau} , \frac{y}{\tau}) }

maps solutions of the mass critical NLS to solutions. The pseudoconformal image of a soliton is an explicit blowup solution. The pseudoconformal transformation is an isometry on and on -admissible Strichartz spaces .