Homogeneous generalized functions in a vector space over a local non-Archimedean field which are related to a quadratic form

Граев, М. И.; Prokhorova, R. I.

doi:10.1007/bf01077883

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Cited by 5 publications

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“…There were obtained fundamental results on theory of non-Archimedean representations. Fundamental investigations in this domain were performed in early 60th by I. M. Gelfand, M. I. Graev and I. I. Pjatetskii-Shapiro [44]- [48] (see also papers of M. I. Graev and R. I. Prohorova [49], [50], A. A. Kirillov and R. R. Sundcheleev [51] and A. D. Gvishiani [52], P. M. Gudivok [53], A. V. Zelevinskii [54], A. V. Trusov [55], [56]).…”

Section: Introductionmentioning

confidence: 99%

p-adic Dynamical Systems with Applications to Biology and Social Sciences

Khrennikov

1997

Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models

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This review is devoted to dynamical systems in fields of p-adic numbers: origin of p-adic dynamics in p-adic theoretical physics (string theory, quantum mechanics and field theory, spin glasses), continuous dynamical systems and discrete dynamical systems. The main attention is paid to discrete dynamical systems -iterations of maps in the field of p-adic numbers (or their algebraic extensions): ergodicity, behaviour of cycles, holomorphic dynamics. We also discuss applications of p-adic discrete dynamical systems to cognitive sciences and psychology.

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