Asymptotic behavior of generalized convolutions
- 48 Downloads
We study the behavior of a class of convolution-type nonlinear transformations. Under some smallness conditions we prove the existence of fixed points and analyze the spectrum of the associated linearized operator.
Key wordsconvolution fixed point Hermite polynomials
MSC2000 numbers47B38 45P05 33C45 33C90
Unable to display preview. Download preview PDF.
- 2.Li, D. and Sinai, Ya.G., Complex Singularities of the Burgers System and Renormalization Group Method, in Current Developments in Mathematics, 2006, International Press, 2008, pp. 181–210.Google Scholar
- 3.Reed, M. and Simon, B., Methods of Modern Mathematical Physics, Vol. 1: Functional Analysis, Academic Press, 1972.Google Scholar