atlas-definitions.tex

Paper V: Polyphase Signal Calculus

atlas-definitions.tex

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1 \providecommand{\OO}{\mathcal O}
2 \providecommand{\FF}{\mathbb F}\providecommand{\QQ}{\mathbb Q}\providecommand{\ZZ}{\mathbb Z}\providecommand{\RR}{\mathbb R}
3 \providecommand{\Spec}{\operatorname{Spec}}\providecommand{\Supp}{\operatorname{Supp}}\providecommand{\Fitt}{\operatorname{Fitt}}
4 \providecommand{\Ann}{\operatorname{Ann}}\providecommand{\coker}{\operatorname{coker}}\providecommand{\im}{\operatorname{im}}
5 \providecommand{\rank}{\operatorname{rank}}\providecommand{\Tr}{\operatorname{Tr}}\providecommand{\id}{\operatorname{id}}
6 \providecommand{\whot}{\mathbin{\widehat\otimes}}\providecommand{\m}{\mathfrak m}\providecommand{\p}{\mathfrak p}
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12 
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20 
21 \providecommand{\CC}{\mathbb C}
22 \providecommand{\kk}{\mathbb k}
23 \renewcommand{\AA}{\mathcal A}
24 \providecommand{\BB}{\mathcal B}
25 \providecommand{\Hull}{\operatorname{Hull}}
26 \providecommand{\srank}{\operatorname{srank}}
27 \providecommand{\Span}{\operatorname{span}}
28 \providecommand{\End}{\operatorname{End}}
29 \providecommand{\diag}{\operatorname{diag}}
30 \providecommand{\Ker}{\operatorname{ker}}
31 \providecommand{\norm}[1]{\left\lVert#1\right\rVert}
32 \providecommand{\mat}[1]{\begin{pmatrix}#1\end{pmatrix}}
33 
34 \providecommand{\Ob}{\operatorname{Ob}}
35 \providecommand{\supp}{\operatorname{supp}}
36 \providecommand{\src}{\operatorname{src}}\providecommand{\tgt}{\operatorname{tgt}}
37 
38 
39 
40 
41 \providecommand{\Res}{\operatorname{Res}}
42 \providecommand{\sech}{\operatorname{sech}}
43 \providecommand{\Dfun}{\mathsf D}\providecommand{\Efun}{\mathsf E}
44 \providecommand{\Tfun}{\mathsf T}\providecommand{\Sfun}{\mathsf S}\providecommand{\Cfun}{\mathsf C}
45 \providecommand{\Thetafun}{\symup{\Theta}}

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