The Fourier transform and its applications

Other Title(s)

تحليلات فورير و تطبيقاته

Dissertant

Qublan, Mundhir Awni

Thesis advisor

al-Butush, Ratib Hamid

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2012

English Abstract

In this thesis, first we studied the Fourier series for a limited interval and under the condition that the function is sufficiently smooth and periodic, then we defined Fourier transforms of all types of functions whether it’s periodic or nonperiodic.

Then we studied it’s properties, it’s relationship with derivatives and some important theories in a consecutive and easy way.

Next, we got the result depending on these properties.

Finally, we studied the result of Schwartz space in which we studied the properties and some theories task in this space.

Main Subjects

Mathematics

No. of Pages

49

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Preliminaries and basic concepts.

Chapter Three : Relations between fourier series and fourier transformation.

Chapter Four : Fourier transform and schwartz space.

Chapter Five : Conclusion.

References.

American Psychological Association (APA)

Qublan, Mundhir Awni. (2012). The Fourier transform and its applications. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-793328

Modern Language Association (MLA)

Qublan, Mundhir Awni. The Fourier transform and its applications. (Master's theses Theses and Dissertations Master). Mutah University. (2012).
https://search.emarefa.net/detail/BIM-793328

American Medical Association (AMA)

Qublan, Mundhir Awni. (2012). The Fourier transform and its applications. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-793328

Language

English

Data Type

Arab Theses

Record ID

BIM-793328