\def\cprime{$'$} \def\cprime{$'$} \def\cprime{$'$} \def\cprime{$'$}
  \def\cprime{$'$}
\providecommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace}
\providecommand{\MR}{\relax\ifhmode\unskip\space\fi MR }
% \MRhref is called by the amsart/book/proc definition of \MR.
\providecommand{\MRhref}[2]{%
  \href{http://www.ams.org/mathscinet-getitem?mr=#1}{#2}
}
\providecommand{\href}[2]{#2}
\begin{thebibliography}{10}

\bibitem{Bik00Rie}
I.~A. Bikchantaev, \emph{The {R}iemann problem on a finite-sheeted {R}iemann
  surface of infinite genus}, Mat. Zametki \textbf{67} (2000), no.~1, 25--35.
  \MR{2001d:30072}

\bibitem{FelKnoTru96Inf}
J.~Feldman, H.~Kn\"orrer, and Trubowitz E., \emph{Infinite genus riemann
  surfaces}, Canadian {M}athematical {S}ociety 1945-1995 (James~B. Carrell and
  Ram Murty, eds.), no.~3, Canadian Mathematical Society, Ottawa, 1996,
  pp.~91--112.

\bibitem{Fried82Int}
F.~G. Friedlander, \emph{Introduction to the theory of distributions},
  Cambridge University Press, Cambridge, 1982. \MR{86h:46002}

\bibitem{GelNai50Uni}
I.~M. Gel{\cprime}fand and M.~A. Na{\u\i}mark, \emph{Unitarnye predstavleniya
  klassi\v ceskih grupp}, Izdat. Nauk SSSR, Moscow-Leningrad, 1950.
  \MR{13,722f}

\bibitem{GesHol00Dar}
Fritz Gesztesy and Helge Holden, \emph{Darboux-type transformations and
  hyperelliptic curves}, J. Reine Angew. Math. \textbf{527} (2000), 151--183.
  \MR{2002b:37108}

\bibitem{GiesKnoTru93Geo}
D.~Gieseker, H.~Kn{\"o}rrer, and E.~Trubowitz, \emph{The geometry of algebraic
  {F}ermi curves}, Perspectives in Mathematics, vol.~14, Academic Press Inc.,
  Boston, MA, 1993.

\bibitem{CourHurv}
Adolf Hurwitz and R.~Courant, \emph{Vorlesungen \"uber allgemeine
  {F}unktionentheorie und elliptische {F}unktionen}, Interscience Publishers,
  Inc., New York, 1944. \MR{6,148e}

\bibitem{Ichi97Schot}
Takashi Ichikawa, \emph{Schottky uniformization theory on {R}iemann surfaces
  and {M}umford curves of infinite genus}, J. Reine Angew. Math. \textbf{486}
  (1997), 45--68.

\bibitem{Jin96Max}
Naondo Jin, \emph{On maximal {R}iemann surfaces}, Hiroshima Math. J.
  \textbf{26} (1996), no.~2, 385--404.

\bibitem{Kosh89Cur}
G.~A. Koshevo{\u\i}, \emph{Curves of infinite genus that can be uniformized in
  the sense of {S}chottky}, Uspekhi Mat. Nauk \textbf{44} (1989), no.~4(268),
  239--240.

\bibitem{McKTru76Hil}
H.~P. McKean and C.~Trubowitz, \emph{Hill's operator and hyperelliptic function
  theory in the presence of infinitely many branch points}, Comm. Pure Appl.
  Math. \textbf{29} (1976), no.~1, 143--226.

\bibitem{McKVan97Act}
H.~P. McKean and K.~L. Vaninsky, \emph{Action-angle variables for the cubic
  {S}chr\"odinger equation}, Comm. Pure Appl. Math. \textbf{50} (1997), no.~6,
  489--562. \MR{98b:35183}

\bibitem{Mer99Asy}
Franz Merkl, \emph{An asymptotic expansion for {B}loch functions on {R}iemann
  surfaces of infinite genus and almost periodicity of the
  {K}adomcev-{P}etviashvilli flow}, Math. Phys. Anal. Geom. \textbf{2} (1999),
  no.~3, 245--278. \MR{2000m:14037}

\bibitem{Mer00Rie}
\bysame, \emph{A {R}iemann {R}och theorem for infinite genus {R}iemann
  surfaces}, Invent. Math. \textbf{139} (2000), no.~2, 391--437.
  \MR{2001e:32030}

\bibitem{MulSchmiSchra98Hyp}
W.~M{\"u}ller, M.~Schmidt, and R.~Schrader, \emph{Hyperelliptic {R}iemann
  surfaces of infinite genus and solutions of the {K}d{V} equation}, Duke Math.
  J. \textbf{91} (1998), no.~2, 315--352. \MR{98m:58060}

\bibitem{PreSeg86Loo}
Andrew Pressley and Graeme Segal, \emph{Loop groups}, Oxford Mathematical
  Monographs, The Clarendon Press, Oxford University Press, New York, 1986,
  Oxford Science Publications.

\bibitem{Rau91Par}
Jeffrey Rauch, \emph{Partial differential equations}, Springer-Verlag, New
  York, 1991. \MR{94e:35002}

\bibitem{RudFun}
Walter Rudin, \emph{Functional analysis}, second ed., McGraw-Hill Inc., New
  York, 1991. \MR{92k:46001}

\bibitem{SatSat82Sol}
Mikio Sato and Yasuko Sato, \emph{Soliton equations as dynamical systems on
  infinite-dimensional {G}rassmann manifold}, Nonlinear partial differential
  equations in applied science (Tokyo, 1982), North-Holland, Amsterdam, 1983,
  pp.~259--271. \MR{86m:58072}

\bibitem{Schmi96Int}
Martin~U. Schmidt, \emph{Integrable systems and {R}iemann surfaces of infinite
  genus}, Mem. Amer. Math. Soc. \textbf{122} (1996), no.~581, viii+111.

\bibitem{SegWil85Loo}
Graeme Segal and George Wilson, \emph{Loop groups and equations of {K}d{V}
  type}, Inst. Hautes \'Etudes Sci. Publ. Math. (1985), no.~61, 5--65.
  \MR{87b:58039}

\bibitem{Vog87Uni}
David~A. Vogan, Jr., \emph{Unitary representations of reductive {L}ie groups},
  Princeton University Press, Princeton, NJ, 1987. \MR{89g:22024}

\bibitem{Zakh97Qua}
Ilya Zakharevich, \emph{Quasi-algebraic geometry of curves {I}, {T}he
  {R}iemann--{R}och theorem and {J}acobian},
  \url{http://xxx.lanl.gov/e-print/alg-geom/9710013}, August 1997.

\end{thebibliography}