000 02640nam a22004815i 4500
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
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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