Dr.Balasaheb Bhagaji Waphare

EDUCATION

M.Sc.
Ph.D. (Mathematics)

RESEARCH INTERESTS

Integral transforms,
Pseudo-differential operators,
Vector analysis

Scopus Publications

Multipliers of Hankel type transformable generalized functions




The linear canonical Hankel type transformations associated with translation and convolution
B. B. Waphare
World Scientific Pub Co Pte Ltd
This paper is the study of Hankel type translation and Hankel type convolution for linear canonical Hankel type transformations. In this paper, I have studied some inequalities associated with Hankel type translation and Hankel type convolution. Also, I have studied some applications of linear canonical Hankel transformation to a canonical convolution integral equation and a generalized nonlinear parabolic equation.


Bessel type transform associated with titchmarsh's theorem
Balasaheb Bhagaji Waphare and Yashoda S. Sindhe
New York Business Global LLC
In this paper we have extended Titchmarsh’s theorem for the Bessel type transform for function on half-line [0, ∞) in a weighted Lp− metric are studied with the use of Bessel type generalized translation


BESSEL TYPE TRANSFORM AND RELATED RESULTS




Pseudo-differential type operators and Gevrey spaces
B. B. Waphare and S. G. Gajbhiv
World Scientific Pub Co Pte Lt
In this paper, the pseudo-differential type operator [Formula: see text] associated with the Bessel type operator [Formula: see text] defined by (2.3) involving the symbol [Formula: see text] whose derivatives satisfy certain growth conditions depending on some increasing sequences, is studied on certain Gevrey spaces. It is shown that the operator [Formula: see text] is a continuous linear map of one Gevrey space into another Gevrey space. A special pseudo-differential type operator called the Gevrey–Hankel type potential is defined and some of its properties are investigated. A variant of [Formula: see text] is also studied.


Pseudo-differential operator involving generalized Hankel-Clifford transformation
P. D. Pansare and B. B. Waphare
World Scientific Pub Co Pte Lt
Pseudo-differential operators (p.d.os) involving generalized Hankel–Clifford transformation associated with the symbol [Formula: see text] whose derivatives satisfy certain growth condition are defined and the Zemanian type function spaces [Formula: see text] and [Formula: see text] are introduced. It is shown that p.d.o’s are continuous linear map of the space [Formula: see text] and [Formula: see text] into itself. Also an Integral representation of p.d.o is obtained.


Generalized hankel-schwartz type transformations on L'p,v spaces of distributions




On product of pseudo-differential type operators involving hankel type convolution




Real inversion formula for a Hankel type integral transformation