Fourier Analysis of Economic Phenomena

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Focusing on the intersection of Fourier analysis and dynamic economic theories, this monograph delves into business cycles through the Kaldor theory and Slutsky effect. It explores Kaldor's nonlinear differential equations and the Hopf-bifurcation theorem to explain economic fluctuations, while Slutsky's approach examines periodic movements from random shocks. The book aims to rigorously justify these theories, presenting essential Fourier analysis concepts systematically. It is accessible to readers with a background in analysis, even if they lack economic expertise.