Fourier Analysis of Economic Phenomena

• Main Author: Maruyama, Toru (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Monographs in Mathematical Economics, 2
• Subjects: Fourier analysis.; Economic theory.; Fourier Analysis.; Economic Theory/Quantitative Economics/Mathematical Methods.

This is the first monograph that discusses in detail the interactions between Fourier analysis and dynamic economic theories, in particular, business cycles. Many economic theories have analyzed cyclical behaviors of economic variables. In this book, the focus is on a couple of trials: (1) the Kaldo...

Table of Contents:

• 1. Fourier series on a Hilbert space
• 2. Convergence of classical Fourier series
• 3. Fourier transforms (1)
• 4. Fourier transforms (2)
• 5. Summation kernels and spectral syntheses
• 6. Fourier transforms of Radon measures
• 7. Spectral representations of unitary operators
• 8. Fourier analysis of weakly stationary stochastic processes
• 9. Almost periodic functions and weakly stationary stochastic processes
• 10. Fredholm Operators
• 11. Hopf bifurcations.