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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2025 Volume 59, Issue 3, Pages 96–126 (Mi faa4292)
Unbounded integral Hankel operators

Alexander Pushnitskiia, Sergei Treilb

a Department of Mathematics, King's College London, London, UK
b Department of Mathematics, Brown University, Providence, USA

Abstract: For a wide class of unbounded integral Hankel operators on the positive half-line, we prove essential self-adjointness on the set of smooth compactly supported functions.

Keywords: Hankel operators, unbounded self-adjoint operators, domains, essential self-adjointness.

MSC: 47B35

Received: 06.02.2025
Accepted: 01.04.2025

DOI: 10.4213/faa4292


 English version: Functional Analysis and Its Applications, 2025, 59:3, 297–320

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© Steklov Math. Inst. of RAS, 2026