A Paley-Wiener type theorem for generalized non-quasianalytic classes

• Autorzy: Jordi Juan-Huguet
• Języki publikacji: EN

Abstrakty

EN

Let P be a hypoelliptic polynomial. We consider classes of ultradifferentiable functions with respect to the iterates of the partial differential operator P(D) and prove that such classes satisfy a Paley-Wiener type theorem. These classes and the corresponding test spaces are nuclear.

Kategorie tematyczne

• 35H10: Hypoelliptic equations
• 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)
• 35B65: Smoothness and regularity of solutions
• 46F05: Topological linear spaces of test functions, distributions and ultradistributions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 208
• Numer: 1
• Strony: 31-46

Daty

wydano

2012

Twórcy

autor

Jordi Juan-Huguet

• Departament de Didàctica de la Matemàtica, Universitat de València, Avda. Tarongers, 4, 46022 València, Spain

Identyfikatory

DOI

10.4064/sm208-1-3