I was reading a survey about the LHS technique when it started to talk about Lp- distance in the same distance, where usually $p$ is usually $1$, $2$ or infinite. What are the possible applications of these spaces and their distances/norms?
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Well $L^{2}$ is especially important because it is a Hilbert space but these spaces are so ubiquitous to modern analysis and applied mathematics, that it would be difficult to narrow it down to just a few. Quantum physics, signals and systems, wavelets, mathematical finance, just to name a few all rely on these spaces (especially $L^{2}$). – Wavelet May 16 '16 at 06:45
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And in which applications for LSH could be used? The Hilbert space is the eucledian space with more than 3 dimensions, right? – user6321 May 16 '16 at 07:13
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Related : http://math.stackexchange.com/questions/810029 – Watson May 16 '16 at 10:00