Anna Sidorik

most citedCharacterizing Hilbert spaces using Fourier transform over the field of p-adic numbers

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math.FA2008

Fourier transform of function on locally compact Abelian groups taking value in Banach spaces

Yauhen Radyna, Anna Sidorik

We consider Fourier transform of vector-valued functions on a locally compact group $G$ , which take value in a Banach space $X$ , and are square-integrable in Bochner sense. If $G$ …

math.FA2008★ 2 cited

Characterizing Hilbert spaces using Fourier transform over the field of p-adic numbers

Yauhen Radyna, Yakov Radyno, Anna Sidorik

We characterize Hilbert spaces in the class of all Banach spaces using Fourier transform of vector-valued functions over the field $Q_{p}$ of $p$ -adic numbers. Precisely, Banach spac…