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007 | cr nn 008mamaa | ||
008 | 170108s2016 gw | s |||| 0|eng d | ||
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_a9783319467382 _9978-3-319-46738-2 |
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_a10.1007/978-3-319-46738-2 _2doi |
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_a515.785 _223 |
100 | 1 |
_aZúñiga-Galindo, W. A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aPseudodifferential Equations Over Non-Archimedean Spaces _h[electronic resource] / _cby W. A. Zúñiga-Galindo. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016. |
|
300 |
_aXVI, 175 p. 1 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2174 |
|
505 | 0 | _ap-Adic Analysis: Essential Ideas and Results -- Parabolic-type Equations and Markov Processes -- Non-Archimedean Parabolic-type Equations With Variable Coefficients -- Parabolic-Type Equations on Adeles -- Fundamental Solutions and Schrödinger Equations -- Pseudodifferential Equations of Klein-Gordon Type. | |
520 | _aFocusing 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. | ||
650 | 0 | _aHarmonic analysis. | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aNumber theory. | |
650 | 0 | _aDistribution (Probability theory. | |
650 | 1 | 4 |
_aAbstract Harmonic Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12015 |
650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aMathematical Applications in the Physical Sciences. _0http://scigraph.springernature.com/things/product-market-codes/M13120 |
650 | 2 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aMathematical Physics. _0http://scigraph.springernature.com/things/product-market-codes/M35000 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319467375 |
776 | 0 | 8 |
_iPrinted edition: _z9783319467399 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2174 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-46738-2 |
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912 | _aZDB-2-LNM | ||
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