% \iffalse %%% ==================================================================== %%% @LaTeX-file{ %%% author = "American Mathematical Society", %%% version = "1.2beta", %%% date = "11-Oct-1994", %%% time = "15:09:10 EDT", %%% filename = "biblio.tex", %%% copyright = "Copyright (C) 1994 American Mathematical Society, %%% all rights reserved. Copying of this file is %%% authorized only if either: %%% (1) you make absolutely no changes to your copy, %%% including name; OR %%% (2) if you do make changes, you first rename it %%% to some other name.", %%% address = "American Mathematical Society, %%% Technical Support, %%% Electronic Products and Services, %%% P. O. Box 6248, %%% Providence, RI 02940, %%% USA", %%% telephone = "401-455-4080 or (in the USA and Canada) %%% 800-321-4AMS (321-4267)", %%% FAX = "401-331-3842", %%% checksum = "58839 219 942 8138", %%% email = "tech-support@math.ams.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "latex, amslatex, ams-latex, amstex, documentation", %%% supported = "yes", %%% abstract = "This file is part of the AMS-\LaTeX{} package. %%% It is part of the monograph sample, %%% testbook.tex (q.v.).", %%% docstring = "The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== % \fi %----------------------------------------------------------------------------- % Beginning of biblio.tex %----------------------------------------------------------------------------- \bibliographystyle{amsalpha} \renewcommand{\bibname}{Bibliography (style RA)} \begin{thebibliography}{BFMO} \bibitem [A1]{A1} T. Aoki, {\em Calcul exponentiel des op\'erateurs microdifferentiels d'ordre infini.} I, Ann. Inst. Fourier (Grenoble) {\bf33} (1983), 227--250. \bibitem [A2]{A2} \bysame, {\em Calcul exponential des op\'erateurs microdifferentiels d'ordre infini.} II, Ann. Inst. Fourier (Grenoble) {\bf36} (1986), 143--165. \bibitem [AKK]{AKK} T. Aoki, M. Kashiwara, and T. Kawai, {\em On a class of linear differential operators of infinite order with finite index}, Adv. in Math. {\bf62} (1986), 155--168. \bibitem[B]{B} H. F. Baker, {\em Note on the foregoing paper}, Proc. Roy. Soc. London Ser. A {\bf118} (1928), 584--593. \bibitem[BFMO]{BFMO}A. R. Bishop, M. G. Forest, D. W. McLaughlin, and E. A. Overman, {\em A quasi-periodic route to chaos in a near integrable PDE}, Phys. D {\bf23} (1986), 293--328. \bibitem[BC]{BC} J. L. Burchnall and T. W. Chaundy, {\em Commutative ordinary differential operators}, Proc. Roy. Soc. London Ser. A {\bf118} (1928), 557--583. \bibitem[C]{C} M. Crum, {\em Associated Sturm-Liouville systems}, Quart. J. Math. Oxford {\bf6} (1955), 121--127. \bibitem[D]{D}E. Date, {\em Multisoliton solutions and quasi-periodic solutions of nonlinear equations of sine-Gordon type}, Osaka J. Math. {\bf19} (1982), 125--128. \bibitem [E]{E} L. Ehrenpreis, {\em Fourier analysis in several complex variables}, Wiley-Interscience, 1970. \bibitem[F]{F}H. Flaschka, {\em Towards an algebro-geometric interpretation of the Neumann system}, T\^ohoku Math. Journal {\bf36} (1984), 407--426. \bibitem [KK]{KK} M. Kashiwara and T. Kawai, {\em On holonomic systems of micro-differential equations.} III, Publ. Res. Inst. Math. Sci. {\bf17} (1981), 813--979. \bibitem [K$^3$]{K$^3$} M. Kashiwara, T. Kawai, and T. Kumura, {\em Foundations of algebraic analysis}, Princeton Univ. Press, Princeton, N.J., 1986; translated from the Japanese edition, 1980. \end{thebibliography} \bibliographystyle{} \renewcommand{\bibname}{Bibliography (style RB)} \begin{thebibliography}{} \bibitem[]{Kawai 1970} T. Kawai, {\em On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients}, J. Fac. Sci. Univ. Tokyo Sect. IA {\bf17} (1970), 467--517. \bibitem[]{Kawai 1980} \bysame, {\em Some remarks on the microlocal analysis of $\vartheta$-functions}, S\^uriken-k\^oky\^uroku No. 410, Res. Inst. Math. Sci. Kyoto, 1980, pp.~76--87. (Japanese) \bibitem[]{Kawai 1983} \bysame, {\em An example of a complex of linear differential operators of infinite order}, Proc. Japan Acad. Ser. A {\bf59} (1983), 113--115. \bibitem[]{Kawai 1987} \bysame, {\em The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order}, Amer. J. Math. {\bf 109} (1987), 57--64. \bibitem[]{Kawai and Struppa 1990} T. Kawai and D. Struppa, {\em On the existence of holomorphic solutions of systems of linear differential equations of infinite order and with constant coefficients info} (to appear; RIMS Preprint No. 620 (1988)). \bibitem[]{Krichever 1977} I. M. Krichever, {\em Integration of nonlinear equations by the method of algebraic geometry}, Functional Anal. App. {\bf11} (1977), 12--26. \end{thebibliography} \bibliographystyle{amsplain} \renewcommand{\bibname}{Bibliography (style RC)} \begin{thebibliography}{00} \bibitem{arnold:sing} V. L. Arnol$'$d, A. N. Varchenko, and S. M. Gusein-Zade, {\em Singularities of differentiable maps.} I, ``Nauka'', Moscow, 1982 (Russian); English transl. Birkh\"auser, 1985. \bibitem{arnold:sing2} \bysame, {\em Singularities of differentiable maps.}~II, ``Nauka'', Moscow, 1984; English transl., Birkh\"auser, 1988. \bibitem{bass:jacobian} H. Bass, E. H. Connell, and D. Wright, {\em The Jacobian conjecture}, Bull. Amer. Math. Soc. {\bf 7} (1982), 287--330. \bibitem{bass:flows} H. Bass and G. H. Meisters, {\em Polynomial flows in the plane}, Adv. in Math. {\bf 55} (1985), 173--203. \bibitem{coomes:injectivity} B. Coomes, {\em Polynomial flows, symmetry groups, and conditions sufficient for injectivity of maps}, Ph.D. Thesis, Univ. Nebraska-Lincoln, 1988. \bibitem{coomes:lorenz} \bysame, {\em The Lorenz system does not have a polynomial flow}, {J. Differential Equations} (to appear). \bibitem{formanek:gener} E. Formanek, {\em Generating the ring of matrix invariants}, Lecture Notes in Math., vol. 1197, Springer-Verlag, Berlin and New York, 1986, pp. 73--82. \bibitem{meisters:poly} \bysame, {\em Polynomial flows on $\hbox{\bf R}^n$}, Proc. Semester on Dynamical Systems (Warsaw, Autumn 1986), Springer-Verlag, Berlin, Heidelberg, and New York (to appear). \bibitem{osher:shock} S. Osher, {\em Shock capturing algorithms for equations of mixed type}, Numerical Methods for Partial Differential Equations (S. I. Hariharan and T. H. Moulton, eds.), Longman, New York, 1986, pp. 305--322. \bibitem{ostro:nonlin} L. A. Ostrovsky, {\em Nonlinear internal waves in a rotating ocean}, Part 2, Oceanology {\bf 18} (1978), 181--191. \bibitem{petrov:ellip} G. S. Petrov, {\em Elliptic integrals and their nonoscillatory behavior}, Funktsional. Anal. i Pri\-lo\-zhen. {\bf 20} (1986), 46--49; English transl. in Functional Anal. Appl. {\bf 20} (1986). \bibitem{spivak:jot} M. D. Spivak, {\em The Joy of \TeX{}}, second edition, Amer. Math. Soc., Providence, R.I., 1990. \bibitem{lamport:latex} Leslie Lamport, {\em \LaTeX{} -- A Document Preparation System}, Addison-Wesley, Reading, Mass., 1986. \end{thebibliography} \cleardoublepage %----------------------------------------------------------------------------- % End of biblio.tex %-----------------------------------------------------------------------------