I'm looking for computer software that will edit digitally recorded
television and allow the result to be burned to dvd for playback in
any dvd player.

Hi,
I am assuming you are looking for Windows compatible software, but I
will mention Macintosh and Linux solutions also.

You have 2 options:
1) Freeware. You will need 2 or more indiviual tools to get the entire job done.
2) Commercial software with prices that can range from a few 10's of
dollars up to hundreds and even thousands for professional software
packages. Many of these options have 30 day trials or limited
functionality.

Freeware:
Windows Movie maker will edit your captured video (WinXP only -
installed by default).
free conversion (avi to mpeg2) and Burning tools can be found here:
http://www.doom9.org/software.htm

Many different programs can easily be found here:
http://www.download.com/
http://www.tucows.com/
http://www.nonags.com/
http://downloads-zdnet.com.com/2001-2025-0.html?tag=dir

Full Featured Packages:
Ulead DVD authoring packages: http://www.ulead.com/runme.htm

Adobe Encore & Premiere: http://www.adobe.com/products/main.html

Pinnacle Studio packages: 
http://www.pinnaclesys.com/PublicSite/us/Products/Consumer+Products/Home+Video/Studio+Family/discover_studio.htm

Roxio Easy Media Creator 7.5: http://www.roxio.com/en/products/emc75/index.jhtml

Sonic MyDVD Studio Deluxe Suite 6.1: 
http://estore.sonic.com/enu/mydvd/mydvdstudio6DXS.asp?lang=enu

Nero 6 Ultra Edition 6.6: www.nero.com

Serif MoviePlus 4.0: http://www.serif.com/movieplus/movieplus4/index.asp

Some reviews of additional packages you may be interested in:
http://www.pcmag.com/category2/0,1874,582756,00.asp


Linux DVD Authoring solutions:
A mixture of tools 7 guides to get the job done:
http://dvdauthor.sourceforge.net/
http://www.linuxgazette.com/issue83/stoddard.html
http://gentoo-wiki.com/HOWTO_Create_a_DVD

Linux DVD authoring Package that will run under WINE:
http://www.mediachance.com/dvdlab/

Main Actor 5: http://www.mainconcept.com/mainactor_v5_linux.shtml


Macintosh DVD Authoring solutions:
DVD Studio Pro 4: http://store.apple.com/1-800-MY-APPLE/WebObjects/AppleStore?productLearnMore=M9854Z/A

Final Cut: http://www.macmall.com/macmall/shop/cat/Software/VideoEditing/category.asp

Avid Express: http://www.avid.com/products/xpressdv/


I hope this covers most of the available packages out there.

Success!