Sampling the Flow of a Bandlimited Function
Sampling the Flow of a Bandlimited Function
Abstract We analyze the problem of reconstruction of a bandlimited function f from the spaceātime samples of its states $$f_t=\phi _t*f$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>t</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>Ļ</mml:mi> <mml:mi>t</mml:mi> </mml:msub> <mml:mrow /> <mml:mo>ā</mml:mo> <mml:mi>f</mml:mi> </mml:mrow> </mml:math> resulting from the convolution with a kernel $$\phi _t$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> ā¦