000 | 02640nam a22004815i 4500 | ||
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001 | u373018 | ||
003 | SIRSI | ||
005 | 20160812084126.0 | ||
007 | cr nn 008mamaa | ||
008 | 101226s2010 sz | s |||| 0|eng d | ||
020 |
_a9783034604086 _9978-3-0346-0408-6 |
||
040 | _cMX-MeUAM | ||
050 | 4 | _aQA307 | |
050 | 4 | _aQA432 | |
082 | 0 | 4 |
_a515.72 _223 |
100 | 1 |
_aGraf, Urs. _eauthor. |
|
245 | 1 | 0 |
_aIntroduction to Hyperfunctions and Their Integral Transforms _h[recurso electrónico] : _bAn Applied and Computational Approach / _cby Urs Graf. |
264 | 1 |
_aBasel : _bBirkhäuser Basel, _c2010. |
|
300 |
_aApprox. 430 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
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505 | 0 | _ato Hyperfunctions -- Analytic Properties -- Laplace Transforms -- Fourier Transforms -- Hilbert Transforms -- Mellin Transforms -- Hankel Transforms. | |
520 | _aThis textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book. Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aFourier analysis. | |
650 | 0 | _aIntegral Transforms. | |
650 | 0 | _aFunctions, special. | |
650 | 0 | _aComputer science. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aIntegral Transforms, Operational Calculus. |
650 | 2 | 4 | _aSpecial Functions. |
650 | 2 | 4 | _aComputational Science and Engineering. |
650 | 2 | 4 | _aFourier Analysis. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783034604079 |
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-0346-0408-6 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c200898 _d200898 |