When are linear differentiation-invariant spaces differential?

✍ Scribed by Vakhtang Lomadze

• Book ID: 104036777
• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 174 KB
• Volume: 424
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2006.06.031

✦ Synopsis

It is shown that a linear differentiation-invariant subspace of a C ∞ -trajectory space is differential (i.e., can be represented as the kernel of a linear constant-coefficient differential operator) if and only if its McMillan degree is finite.