目的:客观评价下颌失状劈开截骨术后下齿槽神经感觉障碍发生及自然恢复的发生率。方法:选择30例双侧下颌升支矢状截骨的患者在术前和术后1周、4周、2个月和6个月进行下齿槽神经感觉障碍的临床评价。30例患者均采用Semmes-Wei nst ei n...目的:客观评价下颌失状劈开截骨术后下齿槽神经感觉障碍发生及自然恢复的发生率。方法:选择30例双侧下颌升支矢状截骨的患者在术前和术后1周、4周、2个月和6个月进行下齿槽神经感觉障碍的临床评价。30例患者均采用Semmes-Wei nst ei n单丝测试法。结果:术后7天感觉障碍发生率为100%。在所有检测区域,术后6个月的测量结果与术前最接近。6个月时20例患者感觉恢复术前水平。左右侧及性别间感觉障碍恢复优秀率的差异在各个随访时期均无统计学意义(P>O.05)。结论:BSSO术后早期感觉功能障碍较为普遍,然而在术后6个月,大多数患者的神经功能可达到自然恢复。展开更多
In this paper,we consider the generalized Weinstein operator Δ_(W)^(d,α,n) we introduce new Sobolev-Weinstein spaces denoted H_(α,dn)^(s)(R_(+)^(d+1) )associated with the generalized Weinstein operator and we inves...In this paper,we consider the generalized Weinstein operator Δ_(W)^(d,α,n) we introduce new Sobolev-Weinstein spaces denoted H_(α,dn)^(s)(R_(+)^(d+1) )associated with the generalized Weinstein operator and we investigate their properties.Next,as application,we study the extremal functions on the spaces H_(α,dn)^(s)(R_(+)^(d+1)) using the theory of reproducing kernels.展开更多
In this paper, using pseudo-holomorphic curve method, one proves the Weinstein conjecture in the product P;×P;of two strongly geometrically bounded symplectic manifolds under some conditions with P;. In particula...In this paper, using pseudo-holomorphic curve method, one proves the Weinstein conjecture in the product P;×P;of two strongly geometrically bounded symplectic manifolds under some conditions with P;. In particular, if N is a closed manifold or a noncompact manifold of finite topological type, our result implies that the Weinstein conjecture in CP;×T*N holds.展开更多
In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C-1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved...In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C-1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved still holding for it. As a consequence some results on Weinstein conjecture are generalized to C-1-smooth hypersurface of contact type.展开更多
In this paper we consider Weinstein operator. We define and study the continuous Gabor transform associated with this operator. We prove a Plancherel formula, an inversion formula and a weak uncertainty principle for ...In this paper we consider Weinstein operator. We define and study the continuous Gabor transform associated with this operator. We prove a Plancherel formula, an inversion formula and a weak uncertainty principle for it. As applications, we obtain analogous of Heisenberg’s inequality for the generalized continuous Gabor transform. At the end we give the practical real inversion formula for the generalized continuous Gabor transform.展开更多
The Weinstein conjecture predicts that there is at least one periodic orbit for every compact contact hypersurface in a symplectic manifold,which turns out an important research direction in symplectic topology and co...The Weinstein conjecture predicts that there is at least one periodic orbit for every compact contact hypersurface in a symplectic manifold,which turns out an important research direction in symplectic topology and contact topology.According to the methods of the research,this paper surveys the study on the Weinstein conjecture using the variational method and the pseudoholomorphic curves method.展开更多
In this paper, we introduce and study the Sobolev spaces of exponential type associated with the Weinstein operator, via some elements of harmonic analysis related to this operator. In particular, some properties, inc...In this paper, we introduce and study the Sobolev spaces of exponential type associated with the Weinstein operator, via some elements of harmonic analysis related to this operator. In particular, some properties, including completeness and imbedding theorem, are proved. Finally, using the theory of reproducing kernels, some applications are given for these spaces.展开更多
In this paper,pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced.The boundedness of pseudo-differential operators and commutator between two pseudo-dif...In this paper,pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced.The boundedness of pseudo-differential operators and commutator between two pseudo-differential operators on H_(α,2)^(r) are proven with the help of the Weinstein transform technique.展开更多
一群G叫CLT群,如果它满足Lagrange定理的逆定理:对d_,G,G有d阶子群。 CLT群是一类介于超可解群和可解群之间的一类群。到今为止,CLT群类仍未完全定出。定出CLT群仍是一个值得研究的课题。在M·Weinstein编《Between Nilpotent and S...一群G叫CLT群,如果它满足Lagrange定理的逆定理:对d_,G,G有d阶子群。 CLT群是一类介于超可解群和可解群之间的一类群。到今为止,CLT群类仍未完全定出。定出CLT群仍是一个值得研究的课题。在M·Weinstein编《Between Nilpotent and Solvable》一书中,Henry G·Bray总结了1982年以前几十年有关CLT群的研究工作,展开更多
文摘目的:客观评价下颌失状劈开截骨术后下齿槽神经感觉障碍发生及自然恢复的发生率。方法:选择30例双侧下颌升支矢状截骨的患者在术前和术后1周、4周、2个月和6个月进行下齿槽神经感觉障碍的临床评价。30例患者均采用Semmes-Wei nst ei n单丝测试法。结果:术后7天感觉障碍发生率为100%。在所有检测区域,术后6个月的测量结果与术前最接近。6个月时20例患者感觉恢复术前水平。左右侧及性别间感觉障碍恢复优秀率的差异在各个随访时期均无统计学意义(P>O.05)。结论:BSSO术后早期感觉功能障碍较为普遍,然而在术后6个月,大多数患者的神经功能可达到自然恢复。
基金Supported by Mathematics And Applications Laboratory,Faculty of Sciences,Gabes University,Tunisia。
文摘In this paper,we consider the generalized Weinstein operator Δ_(W)^(d,α,n) we introduce new Sobolev-Weinstein spaces denoted H_(α,dn)^(s)(R_(+)^(d+1) )associated with the generalized Weinstein operator and we investigate their properties.Next,as application,we study the extremal functions on the spaces H_(α,dn)^(s)(R_(+)^(d+1)) using the theory of reproducing kernels.
文摘In this paper, using pseudo-holomorphic curve method, one proves the Weinstein conjecture in the product P;×P;of two strongly geometrically bounded symplectic manifolds under some conditions with P;. In particular, if N is a closed manifold or a noncompact manifold of finite topological type, our result implies that the Weinstein conjecture in CP;×T*N holds.
基金Supported by the NNSF of China(19971045) the MCF of Chinese University
文摘In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C-1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved still holding for it. As a consequence some results on Weinstein conjecture are generalized to C-1-smooth hypersurface of contact type.
文摘In this paper we consider Weinstein operator. We define and study the continuous Gabor transform associated with this operator. We prove a Plancherel formula, an inversion formula and a weak uncertainty principle for it. As applications, we obtain analogous of Heisenberg’s inequality for the generalized continuous Gabor transform. At the end we give the practical real inversion formula for the generalized continuous Gabor transform.
文摘The Weinstein conjecture predicts that there is at least one periodic orbit for every compact contact hypersurface in a symplectic manifold,which turns out an important research direction in symplectic topology and contact topology.According to the methods of the research,this paper surveys the study on the Weinstein conjecture using the variational method and the pseudoholomorphic curves method.
文摘In this paper, we introduce and study the Sobolev spaces of exponential type associated with the Weinstein operator, via some elements of harmonic analysis related to this operator. In particular, some properties, including completeness and imbedding theorem, are proved. Finally, using the theory of reproducing kernels, some applications are given for these spaces.
基金Supported by SERB MATRICS(Grant No.MTR2021/000266)。
文摘In this paper,pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced.The boundedness of pseudo-differential operators and commutator between two pseudo-differential operators on H_(α,2)^(r) are proven with the help of the Weinstein transform technique.
