On Theses of the First-Order Functional Calculus

✍ Scribed by Juliusz Reichbach

• Publisher: John Wiley and Sons
• Year: 1961
• Tongue: English
• Weight: 492 KB
• Volume: 7
• Category: Article
• ISSN: 0044-3050
• DOI: 10.1002/malq.19610071105

✦ Synopsis

ON THESES OF THE FIRST-ORDER FUNCTIONAL CALCULUS by JULIUSZ REICIII%ACII. in Tcl Aviv, Tsra,cl Wo shall prcsciit two chnractcrizations of tlicses of tho first-order f u~ictional calculus and some rcmarlis of this lrincl.

The possibility of thc first-cliaracterizat,ioll wc havc nicntioncd in papers [ 6 ] ,

[7] and [S] without, R wliolc clcscription, and thcrcfore also-without a proof. The second characlcrization we havc givcn in [7] and [S], but we shall also dcscribo it, becausc one sliows nnotlicr way of obtaining such tlicorcms; we sliall giro soinc modyfication of [7], [S].

We shall use tlic tcrmiiiology of [li], [7], IS] and in particular:

(01) variablcs : (1 ") individual: x, , x2, . . . (or simply x),