上世紀六十年代羅庚師到科大來任專職副校長,使作者聆聽他的教誨的機會增多,有一次他對作者講,一個人最后余下的就是一本選集,作者當時年輕,以為這是遙遠的事,他這樣說是為了教育作者淡泊名利,努力學習與工作,時間匆匆,到2002年作者得病之后,就經(jīng)常想起羅庚師四十多年前對作者講的這句話,作者一生坎坷,平庸,受到種種欺凌與屈辱,在此盤點人生的時候,盡管自認為一直很努力,但與那些大數(shù)學家比,作者是如此微不足道,有愧師恩。作者無學位,非院士,不過是一個普普通通的老教書匠,在后人評說的時候,不會對這樣一個普普通通的教書匠的選集,過于苛求吧! 選文五十篇,為了便于查閱,按課題分類列出。
上世紀六十年代羅庚師到科大來任專職副校長,使作者聆聽他的教誨的機會增多,有一次他對作者講,一個人最后余下的就是一本選集,作者當時年輕,以為這是遙遠的事,他這樣說是為了教育作者淡泊名利,努力學習與工作,時間匆匆,到2002年作者得病之后,就經(jīng)常想起羅庚師四十多年前對作者講的這句話,作者一生坎坷,平庸,受到種種欺凌與屈辱,在此盤點人生的時候,盡管自認為一直很努力,但與那些大數(shù)學家比,作者是如此微不足道,有愧師恩。作者無學位,非院士,不過是一個普普通通的老教書匠,在后人評說的時候,不會對這樣一個普普通通的教書匠的選集,過于苛求吧!
選文五十篇,為了便于查閱,按課題分類列出。
I.典型群上的調和分析
003《典型群上的調和分析》序
華羅庚
005[73.1]酉群上的富理埃分析I,富理埃級數(shù)的Abel求和及Dirichlet核
028[72.1]酉群上的富理埃分析II,富理埃級數(shù)的Ces~~ro求和
043[71.1]酉群上的富理埃分析III,富理埃級數(shù)的收斂判別法
053[70.1]酉群上的富理埃分析IV,關于Peter-Weyl定理
062[69.1]酉群上的富理埃分析V,F(xiàn)ourier級數(shù)的球求和及Fourier積分
083[58]旋轉群上的富理埃級數(shù)的部分和
Ⅱ.多復變數(shù)的奇異積分與積分方程
091PrefaceofIntegralsofCauchyTypeontheBall
AdamKor~~nyi
093[67.1]多復變數(shù)的Cauchy型積分I,超球的Cauchy型積分(與孫繼廣)
106[66.1]多復變數(shù)的Cauchy型積分II,Lie球雙曲空間的Cauchy型積分(與孫繼廣)
131[65.1]多復變數(shù)的Cauchy型積分III,矩陣雙曲空間的Cauchy型積分(與孫繼廣)
143[63.1]復超球面上的奇異積分方程(與孫繼廣)
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]圓型域中解析函數(shù)的積分表示(與孫繼廣)
234[64]關于多復變數(shù)可遞域的Poisson公式的一點注記(與史濟懷)
Ⅲ.多復變數(shù)的Bloch常數(shù)
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]多連通區(qū)域上的Bloch常數(shù)
Ⅳ.多復變數(shù)的Schwarz導數(shù)
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]多復變數(shù)的Schwarz導數(shù)V(與鄭學安和余其煌)
365[20.1]TheSchwarzianDerivativeinK~~hlerManifolds(withYuQihuang)
381[18.1]SchwarzianDerivativeinK/ihlerManifoldsII(withYuQihuangandNaJisheng)
388[23.4]TheSchwarzianDerivativeinC(WithYuQihuang)
Ⅴ.一類Reinhardt域的Bergman核函數(shù)
405[45.1]關于Reinhardt域(一)
420[22.1]TheBergmanKernelFunctionofSomeReinhardtDomains(withZhengXuean)
453[11]TheBergmanKernelFunctionofSomeReinhardtDomainsII(withZhengXuean)
VI.多復變數(shù)的凸映照與星形映照
467PrefaceofConvexandStarlikeMappingsinSeveralComplexVariablesDavidMinda
470[40.1]TheGrowthand1/4一TheoremsforStarlikeMappingsinCn(withRoger
W.BarnardandCarlH.FitzGerald)
480[31.1]OnHolomorphicStarlikeMappingsofSeveralComplexVariables(with
WangShikunandYuQihuang)
490[13]有界星形域上的全純映照成為星形映照的判別準則(與王世坤和余其煌)
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]關于MSbius變換的一點注記(三)(與嚴志敏)
653[44.2]CoefficientInequalitiesandGeometricalInequalities
658[1]SomeOpenProblemsinGeometricFunctionTheoryinSeveralComplexVari-
aJbles
Ⅷ.附錄
673附錄1著作目錄(共30本)
676附錄2論文目錄(共90篇)
688附錄3獲獎項目