Microsolutions of differential operators and values of arithmetic Gevrey series

Microsolutions of differential operators and values of arithmetic Gevrey series

We continue our investigation of E-operators, in particular their connection with G-operators; these differential operators are fundamental in understanding the diophantine properties of Siegel’s E and G-functions. We study in detail microsolutions (in Kashiwara’s sense) of Fuchsian differential operators, and apply this to the construction of basis of solutions at 0 and∞ of any E-operator from...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Arithmetic Gevrey Series and Transcendence. a Survey

the differential effects of debate and media analysis as relate to enhancing efl learners critical thinking ability and writing performances

critical thinking ability has an important role in education. accordingly, scholars around the world are searching for new ways for teaching and improving students critical thinking ability. in line with the studies in efl contexts supporting the positive relationship between critical thinking and writing performances, this study investigated the differential effects of halverson’s critical thi...

Differential Operators and the Wheels Power Series

An earlier work of the author’s showed that it was possible to adapt the Alekseev-Meinrenken Chern-Weil proof of the Duflo isomorphism to obtain a completely combinatorial proof of the Wheeling isomorphism. That work depended on a certain combinatorial identity, which said that a certain composition of elementary combinatorial operations arising from the proof was precisely the Wheeling operati...