Description
Book SynopsisThe mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and p-adic analysis have been found recently.This volume reports these findings and guides the reader towards the latest areas for further research. It is divided into two parts: harmonic, wavelet and p-adic analysis and p-adic and stochastic analysis.
Table of ContentsWavelets and Harmonic Analysis: Wavelets and Other Tools: Wavelets and Expectations: A Different Path to Wavelets (K E Gustafson); Multiwavelets. Some Approximations. Theoretic Properties. Samping on the Interval and Translational Invariance (P Massopust); Harmonic Analysis: On Multiple Solutions for the Elliptic Boundary Value Problem with Two Critical Exponents (Yu V Egorov & Y Ilyasov); Some Singular Perturbation Problems Related to the Navier-Stokes Equations (M Hamouda & R Temam); p-Adic and Stochastic Analysis: Over p-Adic Fields: p-Adic and Group-Valued Probabilities (A Khrennikov); Archimedean Stochastic Analysis: Infinite-Dimensional Harmonic Analysis from the Viewpoint of White Noise Theory (T Hida); Stochastic Integral Equations of Fredholm Type (S Ogawa); and other papers.
