caa a22 4500 606166017 CHVBK 20210128100656.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10440-014-9957-1 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9957-1 Nielsen Lance Department of Mathematics, Creighton University, 2500 California Plaza, Omaha, NE, USA aut Towards a Comprehensive Stability Theory for Feynman's Operational Calculus: The Time Independent Setting [Elektronische Daten] [Lance Nielsen] Via a general construction, we are able to establish a quite general and comprehensive stability theory for Feynman's operational calculus in the time independent setting. In particular, we are able to establish stability of the operational calculus with respect to general types of the time-ordering measures. While the domain of the operational calculus is somewhat restricted as compared to the "standard” version of the operational calculus (established by Jefferies and Johnson (Russ. J. Math. Phys. 8:153-171, 2001; Mat. Zametki 70:815-838, 2001; Adv. Appl. Clifford Algebras 11:239-264, 2001; Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5:171-199, 2002), the advantages of this relatively minor domain restriction are significant in that the stability theory (with respect to the time-ordering measures) as it stands to this time is contained, essentially in its entirety, in the principle result of this paper, Theorem 2. Moreover, Theorem 2 allows immediate, and rather far-reaching extensions of the stability theory that, until now, have not been possible. Springer Science+Business Media Dordrecht, 2014 Disentangling nationallicence Feynman's operational calculus nationallicence Stability theory nationallicence Functions of non-commuting operators nationallicence Acta Applicandae Mathematicae Springer Netherlands 138/1(2015-08-01), 59-79 0167-8019 138:1<59 2015 138 10440 https://doi.org/10.1007/s10440-014-9957-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9957-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Nielsen Lance Department of Mathematics, Creighton University, 2500 California Plaza, Omaha, NE, USA aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 138/1(2015-08-01), 59-79 0167-8019 138:1<59 2015 138 10440