| Area of Mathematics: | Analysis (EA) | ||
| Semester: | 8ο | ||
| Course ID: | 82102 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | |||
| Instructors: |
Description
- Control Functions and Distributions in Rn: Definitions and Examples, Dirac’s d-Function, Approximations of unity and Constructions Using Convergence.
- Calculation of distributions in Rn.
- Fourier transform in Rn. The Schwartz S class, properties of the Fourier transform in S, the Fourier transform for Gaussian functions and the inverse formula in S. Fourier transform of mild distributions: definitions and examples, convolutions with mild distributions.
- Laplace Transform
- Applications to the Partial Differential Equations: Laplace equation, heat equation, wave equation, Schrödinger equation
Bibliography
- Integral Transforms and Their Applications , L.Debnath , D.Bhatta , Taylor and Francis , 2015.
- Integral Transforms and Their Applications ,B.Davis , Springer , 2002
