Complements of Higher Mathematics pp 111-145 | Cite as

Fourier’s Transform

• Authors
• Authors and affiliations

• Marin Marin
• Andreas Öchsner

Chapter

First Online: 14 February 2018

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Abstract

Consider the trigonometrical series of the following form

$$ \frac{a_0}{2}+\sum \limits _{n=1}^{\infty }\left( a_n\cos n\omega x+ b_n\sin n\omega x\right) . $$

Since the functions \(\cos n\omega x\) and \(\sin n\omega x\) are periodical functions having the period \(T=2\pi /\omega \) we say that the series (4.1.1) is a periodical series.

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© Springer International Publishing AG 2018

Authors and Affiliations

• Marin Marin
  • 1
  Email author
• Andreas Öchsner
  • 2

1. 1.Department of Mathematics and Computer ScienceTransilvania University of BrasovBrasovRomania
2. 2.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingen am NeckarGermany