The mutual influence between mathematics and science and technology is becoming widespread with profound connections among them being discovered. Important connections between harmonic analysis, wavelet analysis and p-adic analysis have been found. This work reports these findings and guides the reader towards the areas for further research.

Wavelets 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.