Manuscript Em03-C@1 · Em03-C-v1.tex · figure · 47dd71ec

Compact temporal tests and infrared control

Joint temporal modes and participating radiation › Joint compact-window construction · lines 966–983

Em03-C@1#fig:windows

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Band-limited targets hih_i
Window on (−2L,2L)(-2L,2L)
plus zero-mean correction
Joint Gram step
then polar alignment
Uncorrected window
need not have finite ν\nu
f^i(0)=0\widehat f_i(0)=0
weighted nn integrable
Orthonormal fif_i
∫fi=0\int f_i=0

Compact temporal tests and infrared control. Convergence as increases is the analytical Schwartz statement of the window lemma. The figure is not a numerical quadrature.

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