Analysis and Applications最新文献

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Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien-Tanner model 三维不可压缩Phan-Thien-Tanner模型的全局存在性和最优时间衰减率

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2022-04-18 DOI: 10.1142/s0219530522500051

Yuhui Chen, Wei Luo, Z. Yao

引用次数: 2

Explicit Representations for Banach Subspaces of Lizorkin Distributions Lizorkin分布的Banach子空间的显式表示

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2022-03-10 DOI: 10.1142/s0219530523500148

Sebastian Neumayer, M. Unser

The Lizorkin space is well-suited for studying various operators; e.g., fractional Laplacians and the Radon transform. In this paper, we show that the space is unfortunately not complemented in the Schwartz space. However, we can show that it is dense in $C_0(mathbb R^d)$, a property that is shared by the larger Schwartz space and that turns out to be useful for applications. Based on this result, we investigate subspaces of Lizorkin distributions that are Banach spaces and for which a continuous representation operator exists. Then, we introduce a variational framework involving these spaces and that makes use of the constructed operator. By investigating two particular cases of this framework, we are able to strengthen existing results for fractional splines and 2-layer ReLU networks.

Lizorkin空间非常适合研究各种运算符；例如分数拉普拉斯算子和Radon变换。在本文中，我们证明了这个空间在Schwartz空间中是不可补的。然而，我们可以证明它在$C_0（mathbb R^d）$中是稠密的，这是较大Schwartz空间共享的一个性质，对应用很有用。基于这一结果，我们研究了Lizorkin分布的子空间，这些子空间是Banach空间，并且存在连续表示算子。然后，我们引入了一个包含这些空间的变分框架，它利用了构造的算子。通过研究该框架的两个特殊情况，我们能够加强分数样条和2层ReLU网络的现有结果。

引用次数: 5

A Rare Co-Occurrence of Triple Mutations in JAK2, CALR, and MPL in the Same Patient with Myelofibrosis. 骨髓纤维化患者罕见地同时发生 JAK2、CALR 和 MPL 三重突变

IF 0.7 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2022-02-21 eCollection Date: 2022-01-01 DOI: 10.1155/2022/4579122

Sherine J Thomas, D P Dash

Background. The diagnosis and prognostication of myeloproliferative neoplasm rely on the presence of driver mutations in JAK2, calreticulin (CALR), and MPL mutations. In the past, the presence of these mutations was thought to be mutually exclusive. Since then, there have been multiple reports of the presence of dual mutations. The presence of all three driver mutations in the same patient with myelofibrosis has not been previously described.

Case: A 73-year-old female underwent a hematological workup in our facility after a routine hemogram performed prior to complex ophthalmological surgery revealed severe thrombocytosis. A comprehensive workup including an NGS panel for MPN driver mutations demonstrated that she had a calreticulin type-1 mutation, a JAK2 exon 14 (JAK2L611S) mutation, and an abnormal hotspot variant for MPL with VAF1%. A bone marrow biopsy confirmed a myeloproliferative neoplasm with grade 2 reticulin fibrosis suggesting primary myelofibrosis. Molecular profiling of bone marrow confirmed the previously noted mutations and an MPLW515R mutation. The patient was started on treatment with hydroxyurea and aspirin with improvement in platelet count and resolution of anemia.

Discussion: The clinical significance of the presence of multiple driver mutations in the same patient is not well understood at this time. There have been 11 publications between 2014 and 2020 that have described dual mutations of JAK2V617F, MPL, and CALR mutations. The JAK2 exon 14 mutation noted, in this case, is JAK2L611S which has not previously been reported in MPN and only reported in 5 cases in the COSMIC database. The JAK2 exon 14 mutation identified in this case is not an established driver mutation for myeloproliferative neoplasm, and its clinical implication remains unknown.

Conclusions: The above case in addition to recent case reports and case series supports the use of broader NGS sequencing panels for diagnosis and prognostication of MPN. These mutations should not be considered mutually exclusive. The clinical behavior and prognosis of the subgroup with multiple mutations need to be studied in larger series.

背景。骨髓增殖性肿瘤的诊断和预后取决于是否存在 JAK2、钙网蛋白（CALR）和 MPL 突变等驱动突变。过去，这些突变被认为是相互排斥的。从那时起，已有多个关于存在双重突变的报道。在同一骨髓纤维化患者身上同时出现这三种驱动基因突变的情况以前从未有过：一位 73 岁的女性患者在接受复杂的眼科手术前进行了一次常规血象检查，结果显示其血小板严重减少，随后她在我院接受了血液学检查。全面的检查（包括 MPN 驱动基因突变的 NGS 面板）显示，她有一个 calreticulin 1 型突变、一个 JAK2 第 14 号外显子 (JAK2L611S) 突变和一个 MPL 异常热点变异（VAF1%）。骨髓活检证实了骨髓增生性肿瘤，并伴有2级网状纤维化，提示为原发性骨髓纤维化。骨髓分子分析证实了之前提到的突变和 MPLW515R 突变。患者开始接受羟基脲和阿司匹林治疗，血小板计数有所改善，贫血也得到缓解：讨论：目前还不太清楚同一患者存在多个驱动基因突变的临床意义。2014年至2020年间，共有11篇文献描述了JAK2V617F、MPL和CALR突变的双重突变。本病例中的JAK2第14号外显子突变是JAK2L611S，此前在骨髓增生性疾病中未见报道，在COSMIC数据库中也仅有5例报道。本病例中发现的 JAK2 第 14 号外显子突变并非骨髓增生性肿瘤的成熟驱动突变，其临床意义尚不清楚：上述病例以及最近的病例报告和系列病例均支持使用更广泛的 NGS 测序板来诊断骨髓增生性肿瘤并确定其预后。这些突变不应被视为相互排斥。需要对具有多种突变的亚组的临床表现和预后进行更大规模的系列研究。

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引用次数: 0

Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series 超高斯正则化Whittaker-Kotel 'nikov-Shannon抽样序列

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2022-01-22 DOI: 10.1142/s0219530521500342

Liangzhi Chen, Yang Wang, Haizhang Zhang

The reconstruction of a bandlimited function from its finite sample data is fundamental in signal analysis. It is well known that oversampling of a bandlimited function leads to exponential convergence in its reconstruction. A simple and efficient Gaussian regularized Shannon sampling formula has been proposed in G. W. Wei [Quasi wavelets and quasi interpolating wavelets, Chem. Phys. Lett. 296 (1998) 215–222] with such an exponential convergence ability. We show that all hyper-Gaussian regularized formulas share this desired property. The analysis is built on estimates on the Fourier transform of the hyper-Gaussian functions. We also establish error bounds for the reconstruction of derivatives of a univariate bandlimited function, and for multivariate bandlimited functions.

从有限样本数据重建带限函数是信号分析的基础。众所周知，带限函数的过采样会导致其重建中的指数收敛。G.W.Wei[准小波和准插值小波，Chem.Phys.Lett.296（1998）215–222]提出了一个简单有效的高斯正则化Shannon采样公式，具有这样的指数收敛能力。我们证明了所有超高斯正则化公式都具有这个期望的性质。该分析建立在对超高斯函数的傅立叶变换的估计之上。我们还建立了重建单变量带限函数导数和多变量带限功能的误差界。

引用次数: 1

Smoothed quantile regression with nonignorable dropouts 平滑分位数回归与不可忽略的辍学

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2022-01-15 DOI: 10.1142/s0219530521500354

Wei Ma, Lei Wang

In this paper, we adopt a three-stage estimation procedure and statistical inference methods for quantile regression (QR) based on empirical likelihood (EL) approach with nonignorable dropouts. In the first stage, we consider a parametric model on the dropout propensity of response and handle the parameter identifiability issue by using nonresponse instrument. With the estimated dropout propensity, in the second stage the inverse probability weighting and kernel smoothing methods are applied to construct the bias-corrected and smoothed generalized estimating equations for nonignorable dropouts. In the third stage, borrowing the matrix expansion idea of quadratic inference function, we obtain the proposed estimators that can accommodate the within-subject correlations and improve the estimation efficiency simultaneously. A class of improved estimators and their confidence regions for QR coefficient are derived. Further, the penalized EL method and algorithm for variable selection are investigated. Simulation studies and a real example on HIV-CD4 data set are also provided to show the performance of the proposed estimators.

在本文中，我们采用了基于经验似然（EL）方法的分位数回归（QR）的三阶段估计程序和统计推断方法，其中不可忽略的辍学率。在第一阶段，我们考虑了一个关于响应脱落倾向的参数模型，并通过使用无响应工具来处理参数可识别性问题。在估计了辍学倾向的情况下，在第二阶段，应用逆概率加权和核平滑方法构造了不可忽略辍学的偏差校正和平滑广义估计方程。在第三阶段，我们借用二次推理函数的矩阵展开思想，得到了所提出的估计量，该估计量能够适应主题内的相关性，同时提高了估计效率。导出了QR系数的一类改进估计量及其置信区间。此外，还研究了变量选择的惩罚EL方法和算法。还提供了对HIV-CD4数据集的仿真研究和实例，以展示所提出的估计器的性能。

引用次数: 1

Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces 广义多元三角多项式空间中的加权随机采样与重构

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2021-12-31 DOI: 10.1142/s0219530521500330

Wei Li, Jun Xian

The set of sampling and reconstruction in trigonometric polynomial spaces will play an important role in signal processing. However, in many applications, the frequencies in trigonometric polynomial spaces are not all integers. In this paper, we consider the problem of weighted random sampling and reconstruction of functions in general multivariate trigonometric polynomial spaces. The sampling set is randomly selected on a bounded cube with a probability distribution. We obtain that with overwhelming probability, the sampling inequality holds and the explicit reconstruction formula succeeds for all functions in the general multivariate trigonometric polynomial spaces when the sampling size is sufficiently large.

三角多项式空间的采样和重构集在信号处理中起着重要的作用。然而，在许多应用中，三角多项式空间中的频率并不都是整数。研究了一般多元三角多项式空间中函数的加权随机抽样和重构问题。抽样集是随机选择在一个有界立方体上的一个概率分布。我们得到了在一般多元三角多项式空间中，当采样量足够大时，抽样不等式在绝大概率下成立，且显式重构公式对所有函数都成功。

引用次数: 2

Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting 多元解析环境下的广义apell多项式与futer - bargmann变换

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2021-12-30 DOI: 10.1142/s0219530522500191

A. Martino, K. Diki

ispaper dealswith some special integral transforms in the seing of quaternionic valued slice polyanalytic functions. In particular, using the polyanalytic Fueter mappings it is possible to construct a new family of polynomials which are called the generalized Appell polynomials. Furthermore, the range of the polyanalytic Fueter mappings on two different polyanalytic Fock spaces is characterized. Finally, we study the polyanalytic Fueter-Bargmann transforms. AMS Classification: 44A15, 30G35, 42C15, 46E22

本文讨论了四元数值切片多分析函数中的一些特殊积分变换。特别地，使用多解析Fueter映射，可以构造一个新的多项式族，称为广义Appel多项式。此外，刻画了两个不同的多解析Fock空间上的多解析Fueter映射的范围。最后，我们研究了多解析Fueter-Bargmann变换。AMS分类：44A15、30G35、42C15、46E22

引用次数: 0

Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal 含Dirichlet边界条件的趋化流体模型的全局质量保持解

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2021-12-15 DOI: 10.1142/s0219530521500275

Yulan Wang, M. Winkler, Zhaoyin Xiang

The chemotaxis-Stokes system [Formula: see text] is considered subject to the boundary condition [Formula: see text] with [Formula: see text] and a given nonnegative function [Formula: see text]. In contrast to the well-studied case when the second requirement herein is replaced by a homogeneous Neumann boundary condition for [Formula: see text], the Dirichlet condition imposed here seems to destroy a natural energy-like property that has formed a core ingredient in the literature by providing comprehensive regularity features of the latter problem. This paper attempts to suitably cope with accordingly poor regularity information in order to nevertheless derive a statement on global existence within a generalized framework of solvability which involves appropriately mild requirements on regularity, but which maintains mass conservation in the first component as a key solution property.

趋化- stokes系统[公式:见文]被认为服从边界条件[公式:见文]和一个给定的非负函数[公式:见文][公式:见文]。与用齐次诺伊曼边界条件代替本文的第二个要求的充分研究情况相反，这里施加的狄利克雷条件似乎破坏了一种天然的类能性质，这种性质通过提供后一个问题的全面规律性特征而在文献中形成了核心成分。本文试图适当地处理相应的弱正则性信息，以便在广义可解框架内推导出一个关于整体存在性的陈述，该陈述对正则性的要求适当温和，但在第一个分量中保持质量守恒作为关键解的性质。

引用次数: 8

Fourier-Bessel Series of Compactly Supported Convolutions on Disks 磁盘上紧支持卷积的傅里叶-贝塞尔级数

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2021-12-14 DOI: 10.1142/s0219530521500366

A. G. Farashahi, G. Chirikjian

引用次数: 4

A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results 一个新的具有（p，q）-Laplacian和Clarke次微分的椭圆混合边值问题：存在性、比较和收敛性结果

IF 2.2 2区数学 Q1 MATHEMATICS

Analysis and Applications

Pub Date : 2021-12-09 DOI: 10.1142/s0219530521500287

Shengda Zeng, S. Migórski, D. Tarzia

The goal of this paper is to investigate a new class of elliptic mixed boundary value problems involving a nonlinear and nonhomogeneous partial differential operator [Formula: see text]-Laplacian, and a multivalued term represented by Clarke’s generalized gradient. First, we apply a surjectivity result for multivalued pseudomonotone operators to examine the existence of weak solutions under mild hypotheses. Then, a comparison theorem is delivered, and a convergence result, which reveals the asymptotic behavior of solution when the parameter (heat transfer coefficient) tends to infinity, is obtained. Finally, we establish a continuous dependence result of solution to the boundary value problem on the data.

本文的目标是研究一类新的椭圆混合边值问题，该问题涉及一个非线性非齐次偏微分算子[公式：见正文]-拉普拉斯算子和一个由Clarke广义梯度表示的多值项。首先，我们应用多值伪单调算子的满射性结果来检验温和假设下弱解的存在性。然后，给出了一个比较定理，得到了一个收敛结果，该结果揭示了当参数（传热系数）趋于无穷大时解的渐近行为。最后，我们建立了边值问题解对数据的连续依赖性结果。

引用次数: 2

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