The adjoint of a linear functional-differential operator
β Scribed by David K Hughes
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 285 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
We consider not necessarily self-adjoint differential operators generated by ordinary differential expressions of the form My= f: pi(t)y"' on Z=[l, co) (\*) i=O with n = ord(M) E N, pi E ci(Z, C). With A4 + we denote the adjoint expression b!f+y= i (-l)Qi(t)y)(i) i=O and with 7',(M) and T,(M) the mi
We study the Weyl closure Cl(L) = K(x) β L β© D for an operator L of the first Weyl algebra D = K x, β . We give an algorithm to compute Cl(L) and we describe its initial ideal under the order filtration. Our main application is an algorithm for constructing a Jordan-HΓΆlder series for a holonomic D-m