Fourier Analysis of Economic Phenomena

• 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.

“The manuscript is a well balanced collection of economic applications and systematic and carefully constructed mathematical theories.  Among the various economic theories on business, the fluctuations model is considered the most typical and influential. The manuscript includes fluctuations from both theoretical and empirical viewpoints. … The manuscript ‘Fourier analysis of economic phenomena’ is a very good auxiliary text book for graduate finance, business, and administrative sciences, graduate mathematical modeling, and applied mathematics.” (Haydar Akca, zbMATH 1473.42001, 2021)“This book is of interest to researchers in various fields who use mathematical models that require the use of Fourier analysis.” (Ants Aasma, Mathematical Reviews, August, 2020)