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SUMMARY:Операторні алгебри та їх застосуван
 ня (Operator Algebras and Their Applications)
DTSTART:20261019T130000Z
DTEND:20261019T170000Z
DTSTAMP:20261015T005200Z
UID:indico-event-2239@events.imath.kiev.ua
DESCRIPTION:Speakers: Vitalii Shpakivskyi\n\nA class of finite-dimensional
  algebras with operator-valued structural constants is introduced and stud
 ied. Particular attention is given to a two-dimensional commutative associ
 ative operator algebra whose multiplication is determined by two commuting
  linear operators. Basic algebraic properties of this algebra are establis
 hed\, and a theory of monogenic functions with operator-valued components 
 is developed. Operator analogues of the Cauchy–Riemann conditions are ob
 tained. It is shown that the components of monogenic functions satisfy a s
 econd-order linear operator-differential equation. This approach provides 
 a constructive method for obtaining solutions of various classes of partia
 l differential\, integro-differential\, and functional equations.\n\nhttps
 ://events.imath.kiev.ua/event/2239/
LOCATION:ONLINE
URL:https://events.imath.kiev.ua/event/2239/
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