Results 21 to 30 of about 52 (52)

Semigroup theory applied to options

open access: yesJournal of Applied Mathematics, Volume 2, Issue 3, Page 131-139, 2002., 2002
Black and Scholes (1973) proved that under certain assumptions about the market place, the value of a European option, as a function of the current value of the underlying asset and time, verifies a Cauchy problem. We give new conditions for the existence and uniqueness of the value of a European option by using semigroup theory.
D. I. Cruz-Báez   +1 more
wiley   +1 more source

New inversion formulas for the Krätzel transformation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 253-263, 2001., 2001
We study in distributional sense by means of the kernel method an integral transform introduced by Krätzel. It is well known that the cited transform generalizes to the Laplace and Meijer transformation. Properties of analyticity, boundedness, and inversion theorems are established for the generalized transformation.
Domingo Israel Cruz-Báez   +1 more
wiley   +1 more source

Fourier transforms of Lipschitz functions on certain Lie groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 439-448, 2001., 2001
We study the order of magnitude of the Fourier transforms of certain Lipschitz functions on the special linear group of real matrices of order two.
M. S. Younis
wiley   +1 more source

An approximate analytic solution of a particular boundary value problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 513-520, 2001., 2001
This note is concerned with the three‐dimensional quasi‐steady‐state heat conduction equation subject to certain boundary conditions in the whole x′y′‐plane and finite in z′‐direction. This type of boundary value problem arises in laser welding process. The solution to this problem can be represented by an integral using Fourier analysis. This integral
Ugur Tanriver, Aravinda Kar
wiley   +1 more source

The Operational Calculus of the Generalized Laplace Transform: A Unified Solution Method for Anomalous Decay Models

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a generalized Laplace transform, denoted by Lϕ, defined through a strictly increasing kernel function ϕ(t). Unlike prior works that focus on formal definitions, our framework unifies classical, Gaussian, and Mellin‐type transforms while providing a systematic operational calculus.
Rubayyi T. Alqahtani   +2 more
wiley   +1 more source

The Fourier transforms of Lipschitz functions on the Heisenberg group

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 5-9, 2000., 2000
We study the order of magnitude of the Fourier transforms of certain Lipschitz functions on the Heisenberg group Hn. We compare our conclusions with some previous results in the field.
M. S. Younis
wiley   +1 more source

Hankel transforms in generalized Fock spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 259-272, 1994., 1993
A classical Fock space consists of functions of the form, where ϕ0 ∈ ℂ and ϕq ∈ Lp(ℝq), q ≥ 1. We will replace the ϕq, q ≥ 1 with test functions having Hankel transforms. This space is a natural generalization of a classical Fock space as seen by expanding functionals having abstract Taylor Series.
John Schmeelk
wiley   +1 more source

On a new approach to convolution constructions

open access: yes, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 435-448, 1993.
S. B. Yakubovich, Shyam L. Kalla
wiley   +1 more source

On defining the generalized functions δα(z) and δn(x)

open access: yes, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 749-754, 1993.
E. K. Koh, C. K. Li
wiley   +1 more source

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