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Research Article Open access CC BY 4.0

Analysis in the Generalized Function Spaces Lα (S αα (R))

Ramadan Sabra

Current Journal of Applied Science and Technology · pp. 1–5 · Published 25 Feb 2016

10.9734/BJAST/2016/24198

Abstract

In this paper we shall define generalized complex numbers in the space of new generalized functions  , which allows us to define and study   ordinary differential equations (ODE) and partial differential equations (PDE) in the space  . We shall also define generalized linear and bilinear operations in the space .

New generalized function generalized functions

References (4)

  1. 1 One Algebra of New Generalized Functions [DOI]
  2. 2 Generalized Cauchy's Models and Generalized Integrals [DOI]
  3. 3 The Extended Laplace Transform [DOI]
  4. 4 Ultra Linear Continuous Functionals and Ultra Generalized Complex Numbers in the Ultra Generalized Function Spaces [DOI]

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