By Sergio Albeverio, A. Yu Khrennikov, Andreĭ I︠U︡rʹevich Khrennikov, V. M. Shelkovich
This 2010 booklet was once the 1st dedicated to the speculation of p-adic wavelets and pseudo-differential equations within the framework of distribution idea. This particularly contemporary thought has turn into more and more very important within the final decade with intriguing purposes in quite a few fields, together with biology, photograph research, psychology, and data technology. p-Adic mathematical physics additionally performs an incredible position in quantum mechanics and quantum box conception, the idea of strings, quantum gravity and cosmology, and reliable kingdom physics. The authors comprise many new effects, a few of which represent new parts in p-adic research with regards to the idea of distributions, corresponding to wavelet thought, the speculation of pseudo-differential operators and equations, asymptotic equipment, and harmonic research. Any researcher operating with functions of p-adic research will locate a lot of curiosity during this publication. Its prolonged advent and self-contained presentation additionally make it available to graduate scholars impending the speculation for the 1st time.
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