On Representation, Boundedness and Convergence of Hankel-K{Mp}' Generalized Functions | Zendy

Isabel Marrero | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Representation, Boundedness and Convergence of Hankel-K{Mp}' Generalized Functions

Author(s) -

Isabel Marrero

Publication year - 2004

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1219

Subject(s) - representation (politics) , convergence (economics) , mathematics , hankel transform , pure mathematics , mathematical analysis , bessel function , political science , politics , law , economics , economic growth

Under opportune assumptions on the defining sequence {Mp}p=0, HankelK{Mp} generalized functions can be represented as f = x−μ− 1 2 (Dx−1)kF (x), where k ∈ N and F is a continuous function on I = (0,∞) such that M−1 r F ∈ Lq(I) (1 ≤ q ≤ ∞) for some r ∈ N. A corresponding characterization of boundedness and convergence of Hankel-K{Mp} generalized functions is given.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research