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https://dsp.stackexchange.com/questions/50567/finite-and-infinite-support-in-time-and-frequency-domain
It's known that signals with a finite support in time has an infinite support in frequency (talking about Fourier Transforms). A common example that is given for the claim is the triangle function with it's Fourier transform $\mathrm{sinc}^2$ function.
https://en.wikipedia.org/wiki/List_of_probability_distributions
With finite support. The Bernoulli distribution, which takes value 1 with probability p and value 0 with probability q = 1 − p.; The Rademacher distribution, which takes value 1 with probability 1/2 and value −1 with probability 1/2.; The binomial distribution, which describes the number of successes in a series of independent Yes/No experiments all with the same probability of success.
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https://finite-it.com/ups-support/
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https://dictionary.cambridge.org/us/dictionary/english/finite
These examples are from the Cambridge English Corpus and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
https://stats.stackexchange.com/questions/368885/eli5-what-is-a-discrete-distribution-with-finite-support
A discrete distribution with finite support can only have a finite number of possible realizations. For example, the distribution associated with a coin toss experiment is discrete with finite support as you can only observe one of two values: 'Heads' or 'Tails'.
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