劉豐哲
劉豐哲於一九六二年
畢業自臺大數學系, 獲得學士
學位, 即留在母系任助教三年;
然後一九六五年起到美國普度
大學 進修, 於一九六八年獲博士
學位。一九七一年起任數學研究
所副研究員,於一九七三年升任
研究員; 自一九七四年起由臺灣
大學合聘為數學系教授迄今。
劉豐哲曾在 Wayne State
University, Purdue University, 臺灣
清華大學, 中央大學擔任教職,
並曾於一九八0年 至一九八一
年訪問法國南巴黎大學。
著作目錄 :
- Approximation-extension type property of continuous functions of
bounded variation, Journal of Mathematics and Mechanics, 19(1969), 207-218.
- (With C. Goffman) Discontinuous mappings and surface area, Proceedings of
the London Mathematical Society, third series, 20(1970), 237-248.
- (With C. Goffman) On the localization property of square partial sums for
multiple Fourier series, Studia Mathematic, XLIV (1972).
- On the localization of rectangular partial sums for multiple Fourier series,
Proceedings of the American Mathematical Society, 34(1972), 90-96.
- On uniform convergence of Fourier series after change of variable, The Tamkang
Journal of Mathematics, Tamkang College, 3(1972), 49-52.
- On a theorem of Whitney, Bulletin of the Institute of Mathematics, Academia
Sinica, 1(1973), 63-70.
- (With C. Goffman) Area formula for Sobolev mappings, Indiana University
Mathematics Journal, 25(1976), 871-876.
- Essential multiplicity function for a.e. approximately differentiable
mapping, Memorial volume to President Chiang Kai-Shek, Academia Sinica, (1976),
69-73.
- A Luzin type property of Sobolev function, Indiana Univ. Mathematics Journal,
26(1977), 645-651.
- A note on the von Neumann-Sion minimax principle, Bulletin of the Institute
of Mathematics, Academia Sinica, 6(1978), 517-524.
- Approximately differentiable mappings and surface area, Studies and essays
in commemoration of the golden jubilee of Academia Sinica, (1978), 103-111.
- (With N.R. Hsieh and M.C. Hu) Hausdoff measures on topological groups, Reports
of Math. Research Center, 6(1978), 249-257.
- (With C. Goffman) Luzin type theorem for functions of bounded variation,
Real Analysis Exchange, 5(1979/80), 261-266.
- (With C. Goffman) Derivative measures, Proceedings of the American Mathematical
Society, 78(1980), 218-220.
- (With C. Goffman and D. Waterman) A remark on the spaces
, Proceedings of the American Mathematical Society, 82(1981), 366-368.
- (With N. K. Chen) Approximation of nonparametric surfaces of finite area,
Chinese J. Math., 9(1981), 25-35.
- (With C. Goffman and R. Zink) Representatin of measurable functions by multiple
series, Proc. London Math. Soc., XLV(1982), 131-132.
- (With C. Goffman and D. Waterman) A differentiable function for which localization
for double Fourier series fails, Real Analysis Exchange, 8(1982/83), 223-227.
- Embedding distributive lattices in vector lattices, Bulletin of the Institute
of Mathematics, Academia Sinica, 11(1983), 459-462.
- (With A. Granas) Remark on a theorem of Ky Fan concerning systems of inequalities,
Bulletin of the Institute of Mathematics, Academia Sinica, 11(1983), 636-643.
- (With A. Granas) Teoremes de minimax, C.R. Acad. Sc. Paris, 298(1984), 329-332.
- Luzin property, Proc. SMS, Universite de Montreal on "Methodes topologigues
en analyse nonlineaire", 1983.
- A general variational inequality and its application to coincidence theorems,
Proc. Summer Colloq. Math. Res. Center, 1984.
- (With A. Granas) Quelques theoremes de minimax sans convexite, C. R. Acad.
Sc. Paris, 300(1985), 347-350.
- Representation of lattices and extension of measures, Contemp. Math. Amer.
Math. Soc. 42(1985), 113-117.
- (With A. Granas) Some minimax theorems without convexity, Reports of Universite
de Montreal, October 1985.
- (With M. Frigon) Remarque sur une application de 1'indicatrice de Banach
au changement de variables dans une integrale, Reports of Universite de Montreal,
November 1985.
- (With A. Granas) Coincidences for set-valued maps and minimax inequalities,
Journal de Mathematiques Purs et Appliques, 65(1986), 119-148.
- (With A. Granas) Some minimax theorems without convexity, Nonlinear and
convex analysis, in honor of Ky Fan, Eds. Bor-Luh Lin and Stephen Simon, Marcel
Dekker, Inc., 1987, 61-75.
- Comparison of linear combinations of systems of functions and applications,
Chinese Journal of Mathematics, 17(1989), 207-220.
- Approximation-extension properties of functions, Proc. AMC-90, Hong Kong.
- On a form of KKM principle and SupInfSup inequalities of von Neumann and
of Ky Fan type, J. Math. Anal. Appl., 155(1991), 420-436.
- (With A. Granas & J. R. Lee) Theoreme de minimax sans topologie ni convexite,
Colloq. Math. LXIII(1992), 141-144.
- Measure solutions of systems of inequalities, Topological Method in Nolinear
Analysis, 2(1993), 317-331.
- (With W. S. Tai) Maximal mean steepness and Lusin type property, Ric. Mat.,
Napoli, XLIII(1994), 365-384.
- (With W.S. Tai) Approximate Taylor polynomials and differentiation of functions,
Topological Methods in Nonlinear Analysis, 3(1994), 189-196.
- (With Y. J. Chao) Equilibrium value and measure of system of functions,
Topological Methods in Nonlinear Analysis, 5(1995), 255-259.
- (With W.S. Tai) Lusin properties and interpolation of Sobolev spaces, Topological
Methods in Nolinear Analysis, 9(1997), 163-177.
- Some Lusin properties , Proceedings of Australia-Taiwanese Joint Seminar
on Analysis and Applications, 1997.
- Systems of inequalities and mixing of functions. Journal of Nonlinear and
Convex Analysis, V.2, N.2, (2001), 285-289.
- (with Wen-Ching Lien) Maximal mean estimates of taylor
remainder. Bull. of the Ins. of Math. Academia Sinica, V.29, N.2, June 2001,
79-97.