Pseudo-differential operator in quaternion space

被引：2
|
作者：
Kundu, Manab [1 ,2 ]
Prasad, Akhilesh [1 ,3 ]
机构：
[1] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad, India
[2] SRM Univ AP, Dept Math, Amaravati, Andhra Pradesh, India
[3] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期
关键词：
pseudo-differential operator; quaternion linear canonical transform; LINEAR CANONICAL TRANSFORM; FOURIER-TRANSFORM; EQUATIONS;
D O I：
10.1002/mma.9150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces the quaternion Schwarz type space, and quaternion linear canonical transform (QLCT) mapping properties are also discussed. Further, the quaternion pseudo-differential operator (QPDO) associated with QLCT is described. Some of its characteristics, including estimates, boundedness, and integral representation in quaternion Sobolev type space, are derived. Some applications of QLCT, quaternion differential equations, are also discussed.
引用
收藏
页码：10749 / 10766
页数：18
相关论文
共 50 条
  • [31] Weighted Lipschitz Estimates for Multilinear Commutator of Pseudo-differential Operator
    Wang, Zhiwei
    Liu, Lanzhe
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2011, 38 (02): : 95 - 109
  • [32] Weyl Pseudo-Differential Operator and Wigner Transform on the Poincaré Disk
    Tatsuya Tate
    Annals of Global Analysis and Geometry, 2002, 22 : 29 - 48
  • [33] Weyl pseudo-differential operator and Wigner transform on the Poincare disk
    Tate, T
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2002, 22 (01) : 29 - 48
  • [34] Pseudo-differential operator in the framework of linear canonical transform domain
    Prasad, Akhilesh
    Ansari, Z. A.
    Jain, Pankaj
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (07)
  • [35] PSEUDO-DIFFERENTIAL OPERATORS
    HORMANDE.L
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1965, 18 (03) : 501 - &
  • [36] Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator
    R. S. Pathak
    Akhilesh Prasad
    Manish Kumar
    Journal of Pseudo-Differential Operators and Applications, 2012, 3 : 239 - 254
  • [37] Pseudo-differential operator associated with quadratic-phase Fourier transform
    Prasad, Akhilesh
    Sharma, P. B.
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (02):
  • [38] Generalized fractional Stockwell transform and its associated pseudo-differential operator
    Rejini, M. Thanga
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024,
  • [39] Pseudo-differential operator associated to the radial basis functions under tension
    Bouhamidi, A.
    ESAIM: Mathematical Modelling and Numerical Analysis, 2007, 20 : 72 - 82
  • [40] Pseudo-Differential Operators
    Yuan, Wen
    Sickel, Winfried
    Yang, Dachun
    MORREY AND CAMPANATO MEET BESOV, LIZORKIN AND TRIEBEL, 2010, 2005 : 137 - 146
12345