上世纪六十年代罗庚师到科大来任专职副校长,使作者聆听他的教诲的机会增多,有一次他对作者讲,一个人最后余下的就是一本选集,作者当时年轻,以为这是遥远的事,他这样说是为了教育作者淡泊名利,努力学习与工作,时间匆匆,到2002年作者得病之后,就经常想起罗庚师四十多年前对作者讲的这句话,作者一生坎坷,平庸,受到种种欺凌与屈辱,在此盘点人生的时候,尽管自认为一直很努力,但与那些大数学家比,作者是如此微不足道,有愧师恩。作者无学位,非院士,不过是一个普普通通的老教书匠,在后人评说的时候,不会对这样一个普普通通的教书匠的选集,过于苛求吧! 选文五十篇,为了便于查阅,按课题分类列出。
上世纪六十年代罗庚师到科大来任专职副校长,使作者聆听他的教诲的机会增多,有一次他对作者讲,一个人最后余下的就是一本选集,作者当时年轻,以为这是遥远的事,他这样说是为了教育作者淡泊名利,努力学习与工作,时间匆匆,到2002年作者得病之后,就经常想起罗庚师四十多年前对作者讲的这句话,作者一生坎坷,平庸,受到种种欺凌与屈辱,在此盘点人生的时候,尽管自认为一直很努力,但与那些大数学家比,作者是如此微不足道,有愧师恩。作者无学位,非院士,不过是一个普普通通的老教书匠,在后人评说的时候,不会对这样一个普普通通的教书匠的选集,过于苛求吧!
选文五十篇,为了便于查阅,按课题分类列出。
I.典型群上的调和分析
003《典型群上的调和分析》序
华罗庚
005[73.1]酉群上的富理埃分析I,富理埃级数的Abel求和及Dirichlet核
028[72.1]酉群上的富理埃分析II,富理埃级数的Ces~~ro求和
043[71.1]酉群上的富理埃分析III,富理埃级数的收敛判别法
053[70.1]酉群上的富理埃分析IV,关于Peter-Weyl定理
062[69.1]酉群上的富理埃分析V,Fourier级数的球求和及Fourier积分
083[58]旋转群上的富理埃级数的部分和
Ⅱ.多复变数的奇异积分与积分方程
091PrefaceofIntegralsofCauchyTypeontheBall
AdamKor~~nyi
093[67.1]多复变数的Cauchy型积分I,超球的Cauchy型积分(与孙继广)
106[66.1]多复变数的Cauchy型积分II,Lie球双曲空间的Cauchy型积分(与孙继广)
131[65.1]多复变数的Cauchy型积分III,矩阵双曲空间的Cauchy型积分(与孙继广)
143[63.1]复超球面上的奇异积分方程(与孙继广)
160[54.1]SingularIntegralsinSeveralComplexVariablesI,HenkinIntegralsof
StrictlyPseudoconvexDomain(withShiJihuai)
,
180[52]SingularIntegralsinSeveralComplexVariablesII,HadamardPrincipal
ValueonaSphere(withShiJihuai)
192[51]SingularIntegralsinSeveralComplexVariablesIII,CauchyIntegralsof
ClassicalDomains(withShiJihuai)
210[50]SingularIntegralsinSeveralComplexVariablesIV,TheDerivativeofCauchy
IntegralonSphere(withShiJihuai)
226[68.1]圆型域中解析函数的积分表示(与孙继广)
234[64]关于多复变数可递域的Poisson公式的一点注记(与史济怀)
Ⅲ.多复变数的Bloch常数
241[32.1]TheBlochTheoreminSeveralComplexVariables(withCarlH.FitzGer-
ald)
265[28.1]BlochConstantofHolomorphicMappingsonBoundedSymmetricDomains
(withYanZhi-Min)
280[25]TheLocallyBiholomorphicBlochandMardenConstantsinSeveralComplex
Variables(withCarlH.FitzGerald)
292[21]TheBlochConstantofLocallyBiholomorphicMappingsonBoundedSym-
metricDomains
300[75]多连通区域上的Bloch常数
Ⅳ.多复变数的Schwarz导数
309[29.1]TheSchwarzianDerivativeinSeveralComplexVariables(withCarlH.
FitzGerald)
320[17]TheSchwarzianDerivativeinSeveralComplexVariables(II)(withYuQi-
huangandZhengXuean)
328[16.2]TheSchwarzianDerivativeinSeveralComplexVariables(III)(withZheng
XueanandYuQihuang)
342[15.2]TheSchwarzianDerivativeinSeveralComplexVariables(IV)(withYuQihuangandZhengXuean)
353[14]多复变数的Schwarz导数V(与郑学安和余其煌)
365[20.1]TheSchwarzianDerivativeinK~~hlerManifolds(withYuQihuang)
381[18.1]SchwarzianDerivativeinK/ihlerManifoldsII(withYuQihuangandNaJisheng)
388[23.4]TheSchwarzianDerivativeinC(WithYuQihuang)
Ⅴ.一类Reinhardt域的Bergman核函数
405[45.1]关于Reinhardt域(一)
420[22.1]TheBergmanKernelFunctionofSomeReinhardtDomains(withZhengXuean)
453[11]TheBergmanKernelFunctionofSomeReinhardtDomainsII(withZhengXuean)
VI.多复变数的凸映照与星形映照
467PrefaceofConvexandStarlikeMappingsinSeveralComplexVariablesDavidMinda
470[40.1]TheGrowthand1/4一TheoremsforStarlikeMappingsinCn(withRoger
W.BarnardandCarlH.FitzGerald)
480[31.1]OnHolomorphicStarlikeMappingsofSeveralComplexVariables(with
WangShikunandYuQihuang)
490[13]有界星形域上的全纯映照成为星形映照的判别准则(与王世坤和余其煌)
494[37.1]TheGrowthand1/4-TheoremsforStarlikeMappingsinBp(withYu
QihuangandWangShikun)
499[33.1]TheGrowthTheoremforBiholomorphicMappingsinSeveralComplex
Variables(withWangShikunandYuQihuang)
511[41.1]ADistortionTheoremforBiholomorphicMappingsinC。(withRogerW.
BarnardandCarlH.FitzGeraldl
529[30]BiholomorphicConvexMappingsofBallinC(withWangShikunandYu
Qihuang)
549[39.1]DistortionTheoremforBiholomorphicMappingsinTransitiveDomains
(I)(withZhengXuean)
560[24]DistortionTheoremforBiholomorphicMappingsinTransitiveDomains(IV)
(withZhengXuean)
570[12.1]DistortionTheoremsforBiholomorphicConvexMappingsonBounded
ConvexCircularDomains(withLiuTaishun)
578[10.1]TheDistortionTheoremsofLinearInvariantFamilyontheUnitBall(with
YuQihuang)
599[6.1]CriterionfortheFamilyofEStarlikeMappings(withLiuTaishun)
608[5]OntheRoper-SuffridgeExtensionOperator(withLiuTaishun)
616[4.1]TheGeneralizedRoper-SuffridgeExtensionOperator(withLiuTaishun)
626[3.1]TheDecompositionTheoremfortheFamilyofCompleteQuasi-Convex
Mappings(withLiuTaishun)
Ⅶ.其他
645[46.1]关于MSbius变换的一点注记(三)(与严志敏)
653[44.2]CoefficientInequalitiesandGeometricalInequalities
658[1]SomeOpenProblemsinGeometricFunctionTheoryinSeveralComplexVari-
aJbles
Ⅷ.附录
673附录1著作目录(共30本)
676附录2论文目录(共90篇)
688附录3获奖项目