000			02662nam a22004935i 4500
001			978-3-0346-0408-6
003			DE-He213
005			20140220084518.0
007			cr nn 008mamaa
008			101226s2010 sz | s |||| 0|eng d
020			_a9783034604086 _9978-3-0346-0408-6
024	7		_a10.1007/978-3-0346-0408-6 _2doi
050		4	_aQA307
050		4	_aQA432
072		7	_aPBKL _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.72 _223
100	1		_aGraf, Urs. _eauthor.
245	1	0	_aIntroduction to Hyperfunctions and Their Integral Transforms _h[electronic resource] : _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	_uhttp://dx.doi.org/10.1007/978-3-0346-0408-6
912			_aZDB-2-SMA
999			_c111110 _d111110