I am reading this paper. In the Proof of Lemma 3.3,
How the second(*) equality can be achieved?
How can i use Parseval's identity in third(**) equality?
2025-01-13 19:47:44.1736797664
How the second and third equalities can be achieved?
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Second(*) inequality, follows from, $K=\bigcup\limits_{n\in\mathbb{N}_0}(\mathfrak{P}^{-j}+\mathfrak{p}^{-j}u(n))$.
For third (**), use Parseval's identity.