Functions of Several Variables*

*  This may be a good chapter to skip at first. Some of the material is a bit more advanced (and technical) than that in the previous chapters, and none of it will be needed for a while.

Most of the ideas discussed in the previous chapters can be extended to cases where the functions of interest have more than one variable. In this chapter we will briefly review some extensions that will be particularly relevant, and we will develop some fairly deep results concerning integrals of functions of several variables. (In fact, the primary reason this chapter was written was to discuss those “deep” results, and to prevent us from having to prove two to four special cases of each of these results at various widely ...

Get Principles of Fourier Analysis, 2nd Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.