第Ⅲ类非自共轭锥上的Gamma函数

本文将Ｇａｍｍａ函数及Ｓｉｅｇｅｌ积分推广到一般的第Ⅲ类非自共轭锥上,作为其应用,显式给出了以这些锥为底的管状域（也称第一类Ｓｉｅｇｅｌ域）的Ｃａｕｃｈｙ－Ｓｚｅｇｏ核和形式Ｐｏｉｓｓｏｎ核。关键词     

第Ⅰ类非自共轭锥上的Gamma函数

本文将Ｇａｍｍａ函数及Ｓｉｅｇｅｌ积分推广到一般的第Ⅰ类非自共轭锥上。作为其应用，显式给出了以这些锥为底的管状域（或第一类Ｓｉｅｇｅｌ域）的Ｃａｕｃｈｙ－Ｓｘｅｇｏｅ核和形式Ｐｏｉｓｓｏｎ核。     

第I类非自共轭锥上的Gamma函数

本文将Ｇａｍｍａ函数及Ｓｉｅｇｅｌ积分推广到一般的第Ｉ类非自共轭锥上．作为其应用，显式给出了以这些锥为底的管状域（或第一类Ｓｉｅｇｅｌ域）的Ｃａｕｃｈｙ Ｓｚｅｇ¨ｏ核和形式Ｐｏｉｓｏｎ核．     

核自旋器动力系统周期轨道的最小周期

核自旋器动力系统周期轨道的最小周期高占海（西北大学数学系，西安７１００６９）１．引言三维动力系统其中，此方程描述了一个典型的核自旋发生器（ｎｕｃｌｅａｒｓｐｉｎｇｅｎｅｒａｔｏｒ）的行为，这种核自旋发生器首先由Ｓｃｌｉｍｅｌｚｅｒ［２］于１９５３年提...     

The Structure of NBe—rpp Semigroups

§ 1.ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＭａｉｎＲｅｓｕｌｔｓ　ＡｓｅｍｉｇｒｏｕｐＳｉｓｃａｌｌｅｄａｎｒｐｐｓｅｍｉｇｒｏｕｐｉｆａｌｌｐｒｉｎｃｉｐａｌｒｉｇｈｔｉｄｅａｌｓａＳ1(ａ∈Ｓ)ｏｆＳ ,ｒｅｇａｒｄｅｄａｓａｎＳ1 ｓｙｓｔｅｍ ,ａｒｅｐｒｏｊｅｃｔｉｖｅ (ｓｅｅ,[1 ]ａｎｄ [2 ] ) .ＡｓｅｍｉｇｒｏｕｐＳｉｓａｎｒｐｐｓｅｍｉｇｒｏｕｐｉｆａｎｄｏｎｌｙｉｆｆｏｒａｌｌａ∈Ｓ ,ｔｈｅｓｅｔＭａ ={ｅ∈Ｅ Ｓ1ａ Ｓｅａｎｄ ( ｘ ,ｙ∈Ｓ1)ａｘ=ａｙ ｅｘ=ｅｙ}ｉｓｎｏｎｅｍｐｔｙ ,ｗｈｅｒｅＥ …     

A Class of Planar Surfaces in Surface×I

Ｗｅｒｅｓｔｒｉｃｔｏｕｒｃｏｎｓｉｄｅｒａｔｉｏｎｔｏｏｒｉｅｎｔａｂｌｅａｎｄｃｏｍｐａｃｔｃａｔｅｇｏｒｙ .Ｆｏｒｄｅｆｉｎｉｔｉｏｎｓａｎｄｔｅｒｍｉｎｏｌｏｇｙ ,ｓｅｅｆｏｒｅｘａｍｐｌｅ ,[1 ]ａｎｄ [2 ].　ＬｅｔＳｂｅａｃｌｏｓｅｄｏｒｉｅｎｔａｂｌｅｓｕｒｆａｃｅｗｉｔｈｐｏｓｉｔｉｖｅｇｅｎｕｓ .Ｉｎｔｈｉｓｐａｐｅｒ ,ＭａｌｗａｙｓｄｅｎｏｔｅｓＳ×Ｉ ,ａｎｄＳ0 =Ｓ× 0 ,Ｓ1=Ｓ× 1 .ＡｎａｎｎｕｌｕｓＡｉｎＭｗｉｔｈｉｔｓｔｗｏｂｏｕｎｄａｒｉｅｓｌｙｉｎｇｉｎＳ0ａｎｄＳ1ｒ…     

A Note on C-wrpp Semigroups

ＬｅｔＲｄｅｎｏｔｅＧｒｅｅｎ ｓＲ ｒｅｌａｔｉｏｎｏｎａｓｅｍｉｇｒｏｕｐＳ .ＷｅｄｅｆｉｎｅａｒｉｇｈｔｃｏｎｇｒｕｅｎｃｅＬ ｏｎＳｉｎｔｈｅｒｕｌｅ:ｆｏｒａ ,ｂ∈Ｓ ,(ａ ,ｂ) ∈Ｌ ｉｆｆｆｏｒａｌｌｘ ,ｙ∈Ｓ1,　　 (ａｘ ,ａｙ) ∈Ｒ (ｂｘ,ｂｙ) ∈Ｒ .ＡｓｅｍｉｇｒｏｕｐＳｉｓｓａｉｄｔｏｂｅａＣ ｗｒｐｐｓｅｍｉｇｒｏｕｐｉｆａｌｌｉｄｅｍｐｏｔｅｎｔｓｏｆＳａｒｅｃｅｎｔｒａｌｉｎＳａｎｄｅａｃｈＬ ｃｌａｓｓｏｆＳｃｏｎｔａｉｎｓａｎｉｄｅｍｐｏｔｅｎｔ(ｓｅｅ [1 ] ) .　Ｔｈｅｐ…     

The Asymptotics Stability of Solutions of Some Fourth Order Differential Equation

ＴｈｅＡｓｙｍｐｔｏｔｉｃｓＳｔａｂｉｌｉｔｙｏｆＳｏｌｕｔｉｏｎｓｏｆＳｏｍｅ　ＦｏｕｒｔｈＯｒｄｅｒＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎ方欣华ＴｈｅＡｓｙｍｐｔｏｔｉｃｓＳｔａｂｉｌｉｔｙｏｆＳｏｌｕｔｉｏｎｓｏｆＳｏｍｅＦｏｕｒｔｈＯｒｄｅ...     

三面角的棱面角的计算公式

定理　在三面角Ｓ—Ａ1 Ｂ1 Ｃ1 中 ,三个面角∠Ｃ1 ＳＢ1 =α ,∠Ａ1 ＳＣ1 =β ,∠Ａ1 ＳＢ1 =γ ,且棱ＳＡ1 和平面Ｃ1 ＳＢ1 所成棱面角为θ1 ,棱ＳＢ1 和平面Ａ1 ＳＣ1 所成棱面角为θ2 ,棱ＳＣ1 和平面Ａ1 ＳＢ1 所成棱面角为θ3,则ｃｏｓθ1 =ｃｏｓ2 β ｃｏｓ2 γ- 2ｃｏｓαｃｏｓβｃｏｓγｓｉｎαｃｏｓθ2 =ｃｏｓ2 γ ｃｏｓ2 α- 2ｃｏｓαｃｏｓβｃｏｓγｓｉｎβｃｏｓθ3=ｃｏｓ2 α ｃｏｓ2 β- 2ｃｏｓαｃｏｓβｃｏｓγｓｉｎγ(三面角的棱面角余弦公式 )证明　如图 .在ＳＡ1 上取一点Ｐ ,作ＰＱ⊥平面Ｂ1 ＳＣ1 …     

Finite Groups with only S-seminormal or Selfnormal Subgroups

Ｆｉｎｉｔｅ　Ｇｒｏｕｐｓ　ｗｉｔｈ　ｏｎｌｙ　Ｓ－ｓｅｍｉｎｏｒｍａｌ　ｏｒ　Ｓｅｌｆｎｏｒｍａｌ　ＳｕｂｇｒｏｕｐｓＦｉｎｉｔｅＧｒｏｕｐｓｗｉｔｈｏｎｌｙＳ－ｓｅｍｉｎｏｒｍａｌｏｒＳｅｌｆｎｏｒｍａｌＳｕｂｇｒｏｕｐｓ￥ＺｈａｎｇＱｉｎｈａｉ...     

Gamma Functions and Siegel Integrals on Nonselfdual Cones

Ｉｎｔｈｅｐａｐｅｒ［１］,ＹｉｎＷｅｉｐｉｎｇｉｎ１９８１ｏｂｔａｉｎｅｄＧａｍｍａｆｕｎｃｔｉｏｎｓａｎｄＳｉｅｇｅｌｉｎｔｅｇｒａｌｓｏｎｎｏｎｓｅｌｆｄｕａｌｃｏｎｅｓＶＩＩｍ１,…,ｍｓ１,ｓａｎｄＶＩＩｍ１,…,ｍｓ１,ｓ,　　Ｉｎｔｈｉｓｐａｐｅｒ,ｗｅｗｉｌｌｄｅｆｉｎｅＧａｍｍａｆｕｎｃｔｉｏｎｓａｎｄＳｉｅｇｅｌｉｎｔｅｇｒａｌｓｏｎｎｏｎｓｅｌｆｄｕａｌｃｏｎｅｓＶＩＩｍ１,…,ｍｓ１３,ｓａｎｄＶＩＩｍ１,…,ｍｓ１３,ｓ．ＴｈｅｎｏｂｔａｉｎＣａｕｃｈｙ－Ｓｚｅｇｏ…     

Berezin Transform for Solvable Groups

We study the Berezin transform in the context of solvable groups AN (acting on homogeneous cones and Siegel domains) and determine its spectral decomposition, using an explicit integral kernel representation for the associated eigen-operators in terms of multivariable hypergeometric functions.     

Hilbert integrals on Siegel domains of type II

The Šilov boundary of a Siegel domain of type II is equivalent to a 2-step nilpotent Lie group. In this paper, we mainly study the L^p-boundness of the Hilbert integrals on Siegel domains of type II by using F. Ricci and E.M. Stein's result about singular integrals on Lie groups^[1]. This is the generalization of part of the work done by P.H.Phong and E.M.Stein in [2]     

Molecular decompositions and interpolation

Molecular decompositions for functions in weighted Bergman spaces are extended to two homogeneous, non symmetric Siegel domains of type II, as well as interpolation by functions in weighted Bergman spaces. An ingredient in the proof is a generalization of a lemma due to Koranyi. We also specify the hypotheses in the symmetric case.     

A characterization of products of balls by their isotropy groups

In this paper we will characterize products of balls – especially the ball and the polydisc – in by properties of the isotropy group of a single point. It will be shown that such a characterization is possible in the class of Siegel domains of the second kind, a class that extends the class of bounded homogeneous domains, and that such a characterization is no longer possible in the class of bounded domains with noncompact automorphism groups. The main result is that a Siegel domain of the second kind is biholomorphically equivalent to a product of balls, iff there is a point such that the isotropy group of p contains a torus of dimension n. As an application it will be proved that the only domains biholomorphically equivalent to a Siegel domain of the second kind and to a Reinhardt domain are exactly the domains biholomorphically equivalent to a product of b alls. Received: 27 February 1998 / In final form: 6 August 1998     

Sharp Norm Estimates for Weighted Bergman Projections in the Mixed Norm Spaces

In this paper, we show that the norm of the Bergman projection on L^p,q-spaces in the upper half-plane is comparable to csc(π/q). Then we extend this result to a more general class of domains, known as the homogeneous Siegel domains of type II.     

L~2-SPACES AND SUB-LAPLACIANS ON HOMO GENEOUS GROUPS

In this paper,we introduce a special class of nilpotent Lie groups defined by hermitianmaps,which includes all the groups of affine holomorphic automorphisims of Siegel domains oftype Ⅱ,in particular,the Heisenberg group.And we study harmonic analysis on these groupsas spectral theory of the associated Sub-Laplacian instead of the group representation theoryin usual way.