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Table 1

Definition of the symbols used to expose the wide-field synthesis formalism.

Symbol & Definition Plane(s)a

αs Scanned angle sky
us Scanned spatial frequency uv
αp Phased angle sky
up Phased spatial frequency uv
I Sky brightness sky
B Primary beam sky
V Visibility function uv & sky
S Sampling function uv & sky
Δ Set of single-field dirty beams sky & sky
D Set of wide-field dirty beams sky & sky
Ω Sky-plane weighting function sky & sky
W uv-plane weighting function (Ω ⊃ W) uv & uv
Gridding function ( = g   γ) uv & sky
g uv-plane gridding function uv
γ Sky-plane gridding function sky
Idirty Wide-field dirty image sky

Notes. 

(a)

Planes of definition of the associated symbols.

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