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A solution of the equation w = w ∗ F where F is a probability measure on Rd

✍ Scribed by G.P. Klimov

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
239 KB
Volume
5
Category
Article
ISSN
0893-9659

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✦ Synopsis

The paper deals with equation

where F is a probability distribution on [Fad,B(Rd)]. It will be demonstrated that if F is a nolt- arithmetic distribution then every solution of this equation in the class of bounded regular functions w : Rd M R' (used notions will be defined below) has the form w(t) = const. Vl.

📜 SIMILAR VOLUMES

On the complex oscillation theory of f ″
On the complex oscillation theory of f ″ + A (z)f = 0 where A (z) is analytic in the unit disc
✍ Ting-Bin Cao; Hong-Xun Yi 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 148 KB

## Abstract In this paper, we investigate the complex oscillation theory of the second order linear differential equation __f__ ″ + __A__ (__z__)__f__ = 0, where the coefficient __A__ (__z__) is an analytic function in the unit disc Δ = {__z__: |__z__ | < 1} (© 2009 WILEY‐VCH Verlag GmbH & Co. K