Title: On the conformal invariance and other properties of the McIntosh Pryde functional calculus 

Speaker: John Ryan (University of Arkansas, Fayetteville, USA) 

John Ryan is a distinguished professor at the University of Arkansas. He serves as editor for journals  MMAS, AACA, CAOT, and CMFT. He is also the author of several mathematical monographs, such as Clifford Algebras and Their Applications in Mathematical Physics, Clifford Analysis and Applications, and Dirac Operators in Analysis. John has published over 80  papers in   Adv Math,  TAMS, and Crelles Journal.

Time: 13th, May, 2025(16:00-17:00)

Place：Room 5307, Fifth Teaching Building (East Campus)

Abstract:

In 1987 Alan McIntosh and Alan Pryde used the Clifford Cauchy kernel arising in Clifford analysis to introduce a functional calculus for n mutually commuting real operators. We shall demonstrate the conformal invariance of this functional calculus and look at its holomorphic properties.