- Docente: Enrico Obrecht
- Credits: 3
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Mechanical Engineering (cod. 0938)
Course contents
Reminders on improper integrals and numerical series. Integrals
depending on a parameter. Laplace transform: definition, abscissa
of absolute convergence, formal propeties, computations of inverse
transforms. Series of functions: power series and Fourier series.
Fourier coefficients in real and complex form. Pointwise
convergence of Fourier series. Bessel inequality and Parseval
equality. Half range Fourier expansions. Rapidly decreasing smooth
functions and their Fourier transform. Properties of Fourier
transform. Extension of the Fourier transform to more general
classes of functions. Inversion of the Fourier transform.
Teaching methods
Students may choose either all the course "Complementi di Analisi
Matematica T" (6 CFU) or the partial course "Trasformate integrali
e serie di Fourier T" (3 CFU)
Lessons and exercises in classroom
Assessment methods
Oral examination
Links to further information
http://www.dm.unibo.it/~obrecht/
Office hours
See the website of Enrico Obrecht