Bulletin of the Institute of Mathematics Academia Sinica New Series最新文献_第4页

Periodic and Asymptotically Periodic Solutions for Neutral Nonlinear Coupled Volterra Integro-Differential Systems with Two Variable Delays 两变时滞中立型非线性耦合Volterra积分-微分系统的周期解和渐近周期解

IF 0.2

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-12-01 DOI: 10.21915/bimas.2021404

Bouzid Mansouri, A. Ardjouni, A. Djoudi

引用次数: 1

Determination of time dependent diffusion coefficient in time fractional diffusion equations by fractional scaling transformations method 用分数标度变换方法确定时间分数扩散方程中的时间相关扩散系数

IF 0.2

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-12-01 DOI: 10.21915/bimas.2021402

M. Bayrak, A. Demir

引用次数: 0

Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem 一类$p(x)$-双调和问题解的多重性

IF 0.2

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-12-01 DOI: 10.21915/bimas.2021406

A. Ghanmi

引用次数: 0

A parametrization of unipotent representations 幂函数表示的参数化

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Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-11-16 DOI: 10.21915/bimas.2022301

G. Lusztig

引用次数: 2

Subelliptic operators on weighted Folland-Stein spaces 加权Folland-Stein空间上的亚椭圆算子

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Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-11-10 DOI: 10.21915/bimas.2022302

Hung-Lin Chiu

{"title":"Subelliptic operators on weighted Folland-Stein spaces","authors":"Hung-Lin Chiu","doi":"10.21915/bimas.2022302","DOIUrl":"https://doi.org/10.21915/bimas.2022302","url":null,"abstract":"The CR positive mass problem plays an essential role in CR geometry. As well known, we need a CR positive mass theorem to solve the CR Yamabe problem for the cases which either the CR dimension n = 1 or the CR manifoldM is spherical with higher CR dimension. When n = 1, this was shown by Cheng, Malchiodi and Yang [3]. On the other hand, when n ≥ 2 and M is spherical, this was finished by Cheng, Yang and the author [2] through showing that the developing map is injective. However in the case n = 2, we need an extra condition on the growth rate of the Green’s function on the universal cover of M . So in the case n = 2, the CR positive mass theorem is not really completed. In the paper [1], Cheng and the author showed that for n = 2, M being spherical, if moreover M has a spin structure, then we have the CR positive mass theorem built up through a spinorial approach. Recall that in 1982, E. Witten described a proof of the positive mass theorem using spinors (see [8, 7]). Applying a Weitzenbock-type formula to ψ satisfying Dψ = 0 and approaching a constant spinor at infinity and integrating after taking the inner product with ψ, we then pick up the p-mass from the boundary integral and obtain a Witten-type formula for the p-mass. So the non-negativity of p-mass follows. Therefore, for the CR positive mass theorem, it suffices to show that the square of the Dirac operator D on some suitable weighted Folland-Stein spaces is an isomorphism. In this paper we prove that both sublaplacian ∆b (see Theorem 3.2) and D (see Theorem 3.3) on suitable spaces are isomorphisms.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"108 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79345898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Asymptotic Results of a Recursive Double Kernel Estimator of the Conditional Quantile for Functional Ergodic Data 泛函遍历数据条件分位数的递归双核估计的渐近结果

IF 0.2

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-09-01 DOI: 10.21915/bimas.2021302

I. Bouazza, Fatima Benziadi, Fethi Madani, Toufik Guendouzi

引用次数: 0

Numerical contraction for orbifold surfaces 轨道曲面的数值收缩

IF 0.2

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-09-01 DOI: 10.21915/bimas.2021303

Nathan Grieve

引用次数: 0

A new approach for the approximate solution of fractional integro-differential equations 分数阶积分微分方程近似解的一种新方法

IF 0.2

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-09-01 DOI: 10.21915/bimas.2021301

M. Bayrak, A. Demir

引用次数: 0

$alpha$-Hypergeometric Uncertain Volatility Models and their Connection to 2BSDEs $alpha$-超几何不确定波动率模型及其与2BSDEs的关系

IF 0.2

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-08-16 DOI: 10.21915/bimas.2021304

Zaineb Mezdoud, C. Hartmann, M. Remita, O. Kebiri

引用次数: 0

Involutions in Weyl groups and nil-Hecke algebras Weyl群和nil-Hecke代数的对合

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Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-07-22 DOI: 10.21915/bimas.2022401

G. Lusztig, D. Vogan, Jr.

{"title":"Involutions in Weyl groups and nil-Hecke algebras","authors":"G. Lusztig, D. Vogan, Jr.","doi":"10.21915/bimas.2022401","DOIUrl":"https://doi.org/10.21915/bimas.2022401","url":null,"abstract":"0.1. Let W be a Coxeter group and let S be the set of simple reflections of W ; we assume that S is finite. Let w 7→ |w| be the length function on W . Let H be the Iwahori-Hecke algebra attached to W . Recall that H is the free Z[u]-module with basis {Tw;w ∈ W} (u is an indeterminate) with (associative) multiplication characterized by TsTw = Tsw if s ∈ S, w ∈ W, |sw| = |w| + 1, TsTw = u 2 Tsw + (u 2 − 1)Tw if s ∈ S, w ∈ W, |sw| = |w| − 1. Let w 7→ w be an automorphism with square 1 of W preserving S and let I∗ = {w ∈ W ;w ∗ = w} be the set of “twisted involutions” in W . Let M be the free Z[u]-module with basis {ax; x ∈ I∗}. For any s ∈ S we define a Z[u]-linear map Ts : M −→ M by Tsax = uax + (u+ 1)asx if x ∈ I∗, sx = xs , |sx| = |x|+ 1, Tsax = (u 2 − u− 1)ax + (u 2 − u)asx if x ∈ I∗, sx = xs , |sx| = |x| − 1, Tsax = asxs∗ if x ∈ I∗, sx 6= xs , |sx| = |x|+ 1, Tsax = (u 2 − 1)ax + u 2 asxs∗ if x ∈ I∗, sx 6= xs , |sx| = |x| − 1. It is known that the maps Ts define an H-module structure on M . (See [LV12] for the case where W is a Weyl group or an affine Weyl group and [L12] for the general case; the case where W is a Weyl group and u is specialized to 1 was considered earlier in [K00].) When u is specialized to 0, H becomes the free Zmodule H0 with basis {Tw;w ∈ W} with (associative) multiplication characterized by TsTw = Tsw if s ∈ S, w ∈ W, |sw| = |w|+ 1, TsTw = −Tw if s ∈ S, w ∈ W, |sw| = |w| − 1 (a nil-Hecke algebra). From these formulas we see that there is a well defined monoid structure w,w 7→ w • w on W such that for any w,w in W we have TwTw′ = (−1) ′′Tw•w′ (equality in H0). In this monoid we have (a) (w • w) = w • w","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"11 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88746572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1