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 Multinational Companies, Knowledge and Technology Transfer by W. A. Zúñiga-Galindo
Cover of the book The Soils of Ecuador by W. A. Zúñiga-Galindo
Cover of the book Investor Expectations in Value Based Management by W. A. Zúñiga-Galindo
Cover of the book Liberation Technology in El Salvador by W. A. Zúñiga-Galindo
Cover of the book Operations Research, Engineering, and Cyber Security by W. A. Zúñiga-Galindo
Cover of the book You’re Wrong, I’m Right by W. A. Zúñiga-Galindo
Cover of the book Beauty and Body Dysmorphic Disorder by W. A. Zúñiga-Galindo
Cover of the book Nitric Oxide and Hydrogen Peroxide Signaling in Higher Plants by W. A. Zúñiga-Galindo
Cover of the book Teaching Reflective Learning in Higher Education by W. A. Zúñiga-Galindo
Cover of the book Green Crime in Mexico by W. A. Zúñiga-Galindo
Cover of the book Indirect Reports and Pragmatics by W. A. Zúñiga-Galindo
Cover of the book Practical Aspects of Declarative Languages by W. A. Zúñiga-Galindo
Cover of the book CMS Pixel Detector Upgrade and Top Quark Pole Mass Determination by W. A. Zúñiga-Galindo
Cover of the book Basic Radiotherapy Physics and Biology by W. A. Zúñiga-Galindo
Cover of the book Advances in Human Factors in Robots and Unmanned Systems 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