𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Linear systems and the differential field of Heaviside operators

✍ Scribed by R. Hermann

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
336 KB
Volume
1
Category
Article
ISSN
0167-6911

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✦ Synopsis

A new algebra-analytic approach IO rhc ~hcoc of linear systems and filters ib prescntcd. It is baaed on rhe Heaviside-Mikusinski operational calculus and the theory of algebraic and diffcrcntial-algebraic function fields. In favorable case5 it enables one IO associaic CUNCS in Grasbmann manifold> with infinite dimensional systems. K~~worcls: lnfinitc dimensional linear syswns, Hcaviside calculus. Algebraic gcomclric nwhods.

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Overdetermined Systems of Linear Partial
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Elliptic complexes, made up of certain linear partial differential operators D 1 , ..., D d with C coefficients, are constructed. The local solvability problem for the nonhomogeneous equations D p u= f ( p # [1, ..., d]) and the local integrability problem for the homogeneous equation D 1 u=0 are so