I have the infinite series $$ \sum_{n=-\infty}^{\infty}a_nh\big((k-n)T\big). $$ Can I write $$ a_kh(0)+\sum_{\substack{n=-\infty, \\n\neq k}}^{\infty}a_nh\big((k-n)T\big) \quad ? $$
2026-04-12 19:08:55.1776020935
Can I move a term of an infinite series before the summation sign?
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Yes, this is correct. The first expression equals the latter.