Lattice Quantum Field Theory

Complex Analysis of Real Functions

by Jorge L. deLyra

This is version 3 of this page. The version reflects the state of the scientific content. The page may be updated at any time for the correction of small errors of for small improvements, in either case with no relevant bearing on the content. This page was last updated on Fri Jun 22 21:10:21 UTC 2018.

This page is separated into 6 parts, numbered as I, II, III, IV, V and VI:
I: Complex-Analytic Structure and Integrable Real Functions
II: Singular Schwartz Distributions
III: Extended Fourier Theory
IV: Non-Integrable Real Functions
V: The Dirichlet Problem on the Plane
VI: On the Convergence of Fourier Series

You can read the page online in HTML-I - HTML-II - HTML-III - HTML-IV - HTML-V - HTML-VI format, or download a copy in either PDF-I (size: 242 kB) - PDF-II (size: 225 kB) - PDF-III (size: 213 kB) - PDF-IV (size: 210 kB) - PDF-V (size: 249 kB) - PDF-VI (size: 228 kB) format or PS-I (size: 599 kB) - PS-II (size: 595 kB) - PS-III (size: 550 kB) - PS-IV (size: 538 kB) - PS-V (size: 586 kB) - PS-VI (size: 590 kB) format. Note that the HTML version is not guaranteed to be perfectly formatted, while the PS and PDF versions should be perfect. If you have the appropriate PDF plug-in in your browser, you should be able to read the PDF-I version online - PDF-II version online - PDF-III version online - PDF-IV version online - PDF-V version online - PDF-VI version online ; if this version does not appear in your browser at the first trial, and a blank page shows up instead, just reload; sometimes the browser is a bit sluggish to load the plugin. If you have your browser configured to use a PS viewer existing in your system, you should be able to read the PS-I version on your screen - PS-II version on your screen - PS-III version on your screen - PS-IV version on your screen - PS-V version on your screen - PS-VI version on your screen .

If you decide to print a copy, please note that the page is formatted for A4 paper in one-sided format, that part I has a total of 26 pages, that part II has a total of 23 pages, that part III has a total of 23 pages, that part IV has a total of 21 pages, that part V has a total of 26 pages, and that part VI has a total of 26 pages.

JLdL 22Jun18