Lattice Quantum Field Theory

Complex Analysis of Real Functions

by Jorge L. deLyra


This is version 4 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 Sun Feb 17 01:58:04 UTC 2019.

This page is separated into 6 parts, numbered as I, II, III, IV, V, VI and VII:
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
VII: A Simple Extension of the Cauchy-Goursat Theorem

You can read the page online in HTML-I - HTML-II - HTML-III - HTML-IV - HTML-V - HTML-VI - HTML-VII format, or download a copy in either PDF-I (size: 243 kB) - PDF-II (size: 226 kB) - PDF-III (size: 215 kB) - PDF-IV (size: 210 kB) - PDF-V (size: 249 kB) - PDF-VI (size: 229 kB) - PDF-VII (size: 194 kB) format or PS-I (size: 613 kB) - PS-II (size: 609 kB) - PS-III (size: 564 kB) - PS-IV (size: 538 kB) - PS-V (size: 586 kB) - PS-VI (size: 604 kB) - PS-VII (size: 1.2 MB) 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 - PDF-VII 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 - PS-VII 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, that part VI has a total of 26 pages, and that part VII has a total of 17 pages.



JLdL 16Feb19