Empirical Analysis of Duality Spaces Connecting Distinct Optical form Transforms
Padmaja G1, Gulhane A2

1Padmaja G*, Assistant Professor, Government College of Engineering, Amravati (Maharashtra), India.
2Gulhane A, Research Assistant, University of Illinois at Urbana-Champaign, U.S.

Manuscript received on May 21, 2020. | Revised Manuscript received on June 16, 2020. | Manuscript published on June 30, 2020. | PP: 1-5 | Volume-4, Issue-10, June 2020. | Retrieval Number: I0840054920/2020©BEIESP | DOI: 10.35940/ijmh.I0840.0641020
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: This paper presents a novel technique of construction a precise functional frame in presence of the new proposed constraints during the planning straightforward extension of excessive considerable dimensional generalizations using a empirical relationship of two absolutely distinct transforms having diverse kernels transform for the Laplace Stieltjes spaces consisting of analytical signals from two dimensions at any point heavily affecting the successful development for the view of the Gelfand Shilov techniques a subspace of a Schwartz space simple objective function along with their duals implies continuity having functional analyst approach under many classical conventional transforms arise naturally as Laplace Stieltjes transform of certain distributions extensively used in many applications like magnetic field theory follows from the belongings of strong continuity at origin lean heavily in constructing multidimensional S type spaces based on the testing function spaces upto some desired order for infinitely differentiable functions φ(t, x) with Gelfand Shilov concept under one umbrella.
Keywords: Laplace Stieltjes Transform, Continuous Linear Functional, Duality spaces, Multidimensional Sense, Gelfand Shilov Spaces.