Fourier Analysis of Economic Phenomena

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...

Celý popis

Uloženo v:
Podrobná bibliografie
Hlavní autor: Maruyama, Toru (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Singapore : Springer Singapore , 2018.
Vydání:1st ed. 2018.
Edice:Monographs in Mathematical Economics, 2
Témata:
ISBN:9789811327308
ISSN:2364-8279 ;
On-line přístup: Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Obsah:
  • 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.