Name: Fourier Analysis of Economic Phenomena (Monographs in Mathematical Economics) (en Inglés)
Price: 235060.00 CLP
Availability: InStock
Author: Toru Maruyama
ISBN: 9789811327292

portada Fourier Analysis of Economic Phenomena (Monographs in Mathematical Economics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Toru Maruyama

Año

2019

Idioma

Inglés

N° páginas

410

Encuadernación

Tapa Dura

ISBN13

9789811327292

N° edición

Categorías

Teoría y filosofía de la economía

Fourier Analysis of Economic Phenomena (Monographs in Mathematical Economics) (en Inglés)

Toru Maruyama (Autor) · Springer · Tapa Dura

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Reseña del libro "Fourier Analysis of Economic Phenomena (Monographs in Mathematical Economics) (en Inglés)"

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 Kaldor theory and (2) the Slutsky effect. The Kaldor theory tries to explain business fluctuations in terms of nonlinear, 2nd-order ordinary differential equations (ODEs). In order to explain periodic behaviors of a solution, the Hopf-bifurcation theorem frequently plays a key role. Slutsky's idea is to look at the periodic movement as an overlapping effect of random shocks. The Slutsky process is a weakly stationary process, the periodic (or almost periodic) behavior of which can be analyzed by the Bochner theorem. The goal of this book is to give a comprehensive and rigorous justification of these ideas. Therefore, the aim is first to give a complete theory that supports the Hopf theorem and to prove the existence of periodic solutions of ODEs; and second to explain the mathematical structure of the Bochner theorem and its relation to periodic (or almost periodic) behaviors of weakly stationary processes.Although these two targets are the principal ones, a large number of results from Fourier analysis must be prepared in order to reach these goals. The basic concepts and results from classical as well as generalized Fourier analysis are provided in a systematic way.Prospective readers are assumed to have sufficient knowledge of real, complex analysis. However, necessary economic concepts are explained in the text, making this book accessible even to readers without a background in economics.