caa a22 4500 46791155X CHVBK 20180406152850.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s11232-006-0079-4 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0079-4 Kartashova E. Johannes Kepler Universität Linz, Linz, Austria aut A hierarchy of generalized invariants for linear partial differential operators [Elektronische Daten] [E. Kartashova] We study invariants of linear partial differential operators in two variables under gauge transformations. Using the Beals-Kartashova factorization, we construct a hierarchy of generalized invariants for operators of an arbitrary order. We study the properties of these invariants and give some examples. We also show that the classic Laplace invariants correspond to some particular cases of generalized invariants. Springer Science+Business Media, Inc., 2006 linear partial differential operator nationallicence Beals-Kartashova factorization nationallicence generalized invariant nationallicence hierarchy of invariants nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/3(2006-06-01), 839-846 0040-5779 147:3<839 2006 147 11232 https://doi.org/10.1007/s11232-006-0079-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0079-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kartashova E. Johannes Kepler Universität Linz, Linz, Austria aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/3(2006-06-01), 839-846 0040-5779 147:3<839 2006 147 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer