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Added the abstract wiener space section.

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This commit is contained in:
Bokuan Li
2026-05-31 14:12:39 -04:00
parent 5f68dff976
commit 89c1804ceb
11 changed files with 842 additions and 4 deletions
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31
preamble.sty
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@@ -110,7 +110,6 @@
\newcommand{\proj}{\text{proj}}
\newcommand{\tr}{\text{tr}}
\newcommand{\spec}[1]{\text{Spec}\paren{#1}}
\newcommand{\ba}{\mathbf{A}}
% Dual Pairings & Inner Products
@@ -151,7 +150,6 @@
\newcommand{\cm}{\mathcal{M}}
\newcommand{\cf}{\mathcal{F}}
\newcommand{\ce}{\mathcal{E}}
\newcommand{\ci}{\mathcal{I}}
\newcommand{\pow}[1]{\mathcal{P}\paren{#1}}
\newcommand{\cb}{\mathcal{B}}
\newcommand{\cn}{\mathcal{N}}
@@ -167,7 +165,6 @@
\newcommand{\cd}{\mathcal{D}}
\newcommand{\calr}{\mathcal{R}}
\newcommand{\scp}{\mathscr{P}}
\newcommand{\wien}{\mathcal{W}}
% Jokes
\newcommand{\lol}{\boxed{\text{LOL.}}}
@@ -224,3 +221,31 @@
% Real or Complex Numbers
\newcommand{\RC}{\bracs{\real, \complex}}
% AWS
\newcommand{\ci}{\mathcal{I}}
\newcommand{\ba}{\mathbf{A}}
% Words
\newcommand{\hldr}{Hölder\ }
% Wiener Space
\newcommand{\wien}{\mathcal{W}}
\newcommand{\sps}{{\Theta(\real^d)}} % Sample Path Space
\newcommand{\ccm}{{\mathbf{H}^1(\real^d)}} % Classical Cameron-Martin Space
% Dual Pairings & Inner Products
\newcommand{\floor}[1]{\lfloor #1 \rfloor}
\newcommand{\ceil}[1]{\lceil #1 \rceil}
\newcommand{\seqfn}[1]{\bracsn{#1}_1^{n}}
\newcommand{\seqfm}[1]{\bracs{#1}_1^{m}}
\newcommand{\seqfmz}[1]{\bracs{#1}_0^{m}}
\newcommand{\rad}[1]{\text{rad}\!\left(#1\right)}
\newcommand{\fp}{\mathfrak{p}}
\newcommand{\fq}{\mathfrak{q}}