January 3, 2020
Fourier Analysis of Economic Phenomena
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 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.
DOWNLOAD THIS BOOK
DISCLAIMER
This website strictly complies with DMCA Digital Copyright Laws.. Please be clear that we (edownloads.me) do not own copyrights of these e-books. The intention behind sharing these books and educational material is to provide easy access to students, researchers and other readers who don't have access to these books at their local libraries, "thus only for educational purpose". We highly encourage our readers to purchase this content from the respected publishers. If anyone holding copyrights wants us to remove this content, please contact us rightaway. All books and educational material on edownloads.me are free and NOT HOSTED ON OUR WEBSITE. If you feel that your copyrights have been violated, then please contact us immediately. You may send an email to infomanzastore@gmail.com for all DMCA / Removal Requests. edownloads.me doesn’t have any material hosted on the server of this page, only links to books that are taken from other sites on the web are published and these links are unrelated to the book server. edownloads.me server doesnot store any type of book or material. No illegal copies are made or any copyright © and / or copyright is damaged or infringed since all material is free on the internet.
Fund Managers: The Complete Guide (Wiley Finance
UK Business and Financial Cycles Since 1660: Volume I: A Narrative Overview
