On p-adic differentiability

A p-adic-valued function on the p-adic integers has a continuous derivative, Mahler showed, whenever its interpolation coefficients decay at a certain rate. It is shown here that Mahler's decay condition is equivalent to the strict differentiability of the function. There is a discussion of the Banach-space structure of the space of strictly differentiable functions. It is shown, moreover, that there is no rate of decay common to all functions with continuous derivative. Specifically, given any decay condition, there exists a function with derivative identically zero, whose interpolation coefficients decay more slowly.     

Mass spectrometry in structural and stereochemical problems—CLXXIV:1 Electron-impact induced fragmentation of some aryl- and alkylsulfonylthioureas

The mass spectra of five aryl (I to V) and four alkylsulfonylthioureas (VI toIX) have been recorded and mechanistic rationalizations are suggested for their principal fragmentation processes. The aryl analogs exhibited peaks in their mass spectra corresponding to skeletal rearrangements with elimination of SO₂ from their molecular ions but this fragmentation was absent in those alkylsulfonylthioureas (VI to IX) examined.     

Über die Fourierschen Koeffizienten von Eisensteinschen Reihen der StufeT

Ohne ZusammenfassungIch könnte mir Gewissensbisse machen, daß ich bei 20 000 halbfertigen Abhandlungen die mir auf dem Halse liegen, mit diesen Allotriis und anderen so manche Zeit hinbringe.     

Massenspektroskopie und ihre Anwendung auf strukturelle und stereochemische Probleme, 15. Mitt.1: Steroidsapogenine

Zusammenfassung Es wurden die Massenspektren einer Reihe von Steroidsapogeninen gemessen und Strukturen für die wichtigsten Fragmentierungsionen vorgeschlagen. Steroidsapogenine geben ein charakteristisches Fragmentierungsmuster, das zur Identifizierung dieser Verbindungen herangezogen werden kann sowie Rückschlüsse auf bestimmte, Substituenten zuläßt.Mit 7 Abbildungen     

Electron binding energies in thorium

Sixteen atomic level energies in theL, M, N, andO shells of thorium have been measured by the electron spectroscopic method. The precision achieved in the measurements is better than one electron volt. The Fermi level is observed as an edge in the photo electron spectrum. A complete set of electron binding energies, based on electron spectroscopic data, is given.     

Coordination catalysts for the selective hydrogenation of polymeric unsaturation

The selective hydrogenation of poly-1,4-butadiene in the presence of poly-1,4-isoprene is described. Both of these polydienes are hydrogenated more easily than polystyrene. The catalysts which effect these selective hydrogenations are made by the reaction of organoaluminum or lithium compounds with transition metal salts of 2-ethylhexanoic acid.