Formula:608

Digital Library of Mathematical Functions ID 1.16.E34

${\displaystyle{\displaystyle\mathscr{F}(P\phi)(\mathbf{x})=P(\mathbf{D})\mathscr{F}\phi(\mathbf{x}).}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathbb{R}}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle\phi(x_{1},x_{2},\dots,x_{n})}}$: test function
• ${\displaystyle{\displaystyle\mathscr{F}(\phi)}}$: Fourier transform of a test function (locally)
• ${\displaystyle{\displaystyle\mathbf{D}}}$: vector differential operator (locally)
• ${\displaystyle{\displaystyle P}}$: polynomial of several variables
• ${\displaystyle{\displaystyle Df}}$:
 

Resources that cite this formula

No records found.