On Generalized Functions in Adelic Quantum Mechanics

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dc.creatorDragovich, Branko
dc.date2004-04-29
dc.date.accessioned2026-07-07T04:31:09Z
dc.date.available2026-07-07T04:31:09Z
dc.descriptionSome aspects of adelic generalized functions, as linear continuous functionals on the space of Schwartz-Bruhat functions, are considered. The importance of adelic generalized functions in adelic quantum mechanics is demonstrated. In particular, adelic product formula for Gauss integrals is derived, and the connection between the functional relation for the Riemann zeta function and quantum states of the harmonic oscillator is stated.
dc.description9pages
dc.identifierhttps://arxiv.org/abs/math-ph/0404076
dc.identifierhttp://arxiv.org/abs/math-ph/0404076
dc.identifierIntegral Transform. Spec. Funct. 6 (1998) 197-2003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57714
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.subject11R56, 46F99, 81Q99
dc.titleOn Generalized Functions in Adelic Quantum Mechanics
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