Pseudodifferential Equations Over Non-Archimedean Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Pseudodifferential Equations Over Non-Archimedean Spaces by W. A. Zúñiga-Galindo, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: W. A. Zúñiga-Galindo ISBN: 9783319467382
Publisher: Springer International Publishing Publication: January 8, 2017
Imprint: Springer Language: English
Author: W. A. Zúñiga-Galindo
ISBN: 9783319467382
Publisher: Springer International Publishing
Publication: January 8, 2017
Imprint: Springer
Language: English

Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation. Pseudodifferential equations for complex-valued functions on non-Archimedean local fields are central to contemporary harmonic analysis and mathematical physics and their theory reveals a deep connection with probability and number theory. The results of this book extend and complement the material presented by Vladimirov, Volovich and Zelenov (1994) and Kochubei (2001), which emphasize spectral theory and evolution equations in a single variable, and Albeverio, Khrennikov and Shelkovich (2010), which deals mainly with the theory and applications of p-adic wavelets.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation. Pseudodifferential equations for complex-valued functions on non-Archimedean local fields are central to contemporary harmonic analysis and mathematical physics and their theory reveals a deep connection with probability and number theory. The results of this book extend and complement the material presented by Vladimirov, Volovich and Zelenov (1994) and Kochubei (2001), which emphasize spectral theory and evolution equations in a single variable, and Albeverio, Khrennikov and Shelkovich (2010), which deals mainly with the theory and applications of p-adic wavelets.

More books from Springer International Publishing

Cover of the book SOFSEM 2018: Theory and Practice of Computer Science by W. A. Zúñiga-Galindo
Cover of the book Photon Absorption Models in Nanostructured Semiconductor Solar Cells and Devices by W. A. Zúñiga-Galindo
Cover of the book The Perceptual Structure of Three-Dimensional Art by W. A. Zúñiga-Galindo
Cover of the book Classical and Quantum Molecular Dynamics in NMR Spectra by W. A. Zúñiga-Galindo
Cover of the book Leading Global Innovation by W. A. Zúñiga-Galindo
Cover of the book Remapping African Literature by W. A. Zúñiga-Galindo
Cover of the book Berichte zur Lebensmittelsicherheit 2014 by W. A. Zúñiga-Galindo
Cover of the book Fault-Tolerant Digital Microfluidic Biochips by W. A. Zúñiga-Galindo
Cover of the book State of the art in Blepharoplasty by W. A. Zúñiga-Galindo
Cover of the book Privacy in Statistical Databases by W. A. Zúñiga-Galindo
Cover of the book On Running and Becoming Human by W. A. Zúñiga-Galindo
Cover of the book Database Systems for Advanced Applications by W. A. Zúñiga-Galindo
Cover of the book State of the Art Applications of Social Network Analysis by W. A. Zúñiga-Galindo
Cover of the book Surveys in Differential-Algebraic Equations IV by W. A. Zúñiga-Galindo
Cover of the book Circular Cylinders and Pressure Vessels by W. A. Zúñiga-Galindo
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy