- #1
Ed Quanta
- 297
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The 3 dimensional space that we inhabit must have a basis of 3 vectors which is fair enough.
But in my partial differential equations class in which Fourier series was introduced, it was said that piecewise smooth function space has a basis of an infinite number of vectors. If there is a simple enough answer to this, I am curious to why this is. Does it have to do with the discontinuities that can arise in PWS space?
But in my partial differential equations class in which Fourier series was introduced, it was said that piecewise smooth function space has a basis of an infinite number of vectors. If there is a simple enough answer to this, I am curious to why this is. Does it have to do with the discontinuities that can arise in PWS space?