Pseudo-differential operator involving generalized Hankel-Clifford transformation

被引：1

作者：

Pansare, P. D. ^{[1
]}

Waphare, B. B. ^{[1
]}

机构：

[1] MIT Arts Commerce & Sci Coll, Pune, Maharashtra, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2016年 / 9卷 / 01期

关键词：

Pseudo-differential operator; generalized Hankel-Clifford transformation;

D O I：

10.1142/S1793557116500169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Pseudo-differential operators (p. d. os) involving generalized Hankel-Clifford transformation associated with the symbol a(x, y) whose derivatives satisfy certain growth condition are defined and the Zemanian type function spaces H-beta(I) and S-alpha(I) are introduced. It is shown that p. d. o's are continuous linear map of the space H-beta(I) and S-alpha(I) into itself. Also an Integral representation of p.d.o is obtained.

引用

页数：7

共 50 条

[31] A pair of pseudo-differential operators involving Hankel-type integral transformations
Akhilesh Prasad
P. K. Maurya
Journal of Pseudo-Differential Operators and Applications, 2015, 6 : 135 - 151
[32] The Mehler-Fock-Clifford Transform and Pseudo-Differential Operator on Function Spaces
Prasad, Akhilesh
Verma, S. K.
FILOMAT, 2019, 33 (08) : 2457 - 2469
[33] A pair of pseudo-differential operators involving Hankel-type integral transformations
Prasad, Akhilesh
Maurya, P. K.
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2015, 6 (01) : 135 - 151
[34] Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on S-type spaces
Mahato, Kanailal
Pasawan, Durgesh
ADVANCES IN OPERATOR THEORY, 2023, 8 (01)
[35] ON SYMBOL OF A PSEUDO-DIFFERENTIAL OPERATOR
SHIH, W
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (04) : 657 - &
[36] Pseudo-differential operator related to Hankel transform on Gelfand–Shilov spaces of type W
Kanailal Mahato
Durgesh Pasawan
Advances in Operator Theory, 2021, 6
[37] PSEUDO-DIFFERENTIAL OPERATOR ASSOCIATED WITH THE DUNKL OPERATOR
Abdelkefi, Chokri
Amri, Bechir
Sifi, Mohamed
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2007, 20 (09) : 1035 - 1051
[38] 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
[39] Generalized fractional Stockwell transform and its associated pseudo-differential operator
Rejini, M. Thanga
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024, 35 (11) : 637 - 653
[40] Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator
Pathak, R. S.
Prasad, Akhilesh
Kumar, Manish
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2012, 3 (02) : 239 - 254

← 1 2 3 4 5 →