Fourier Analysis of Economic Phenomena

• Κύριος συγγραφέας: Maruyama, Toru (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Monographs in Mathematical Economics, 2
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.