Exponential functional equation on spheres

✍ Scribed by Justyna Sikorska

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 387 KB
• Volume: 23
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2009.09.004

✦ Synopsis

We study the exponential functional equation f (x + y) = f (x)f (y) on spheres in real normed linear spaces. Regardless of the solutions of this equation, which are already known, we investigate its stability and consider the pexiderized version of it.