000 02619nam a22004935i 4500
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008 170212s2015 gw | s |||| 0|eng d
020 _a9783319195278
_9978-3-319-19527-8
024 7 _a10.1007/978-3-319-19527-8
_2doi
035 _ato000560102
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.7
_223
100 1 _aGeorgiev, Svetlin G.
_eauthor.
_9466743
245 1 0 _aTheory of Distributions
_helectronic resource
_cby Svetlin G. Georgiev.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aVIII, 218 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _a1 Introduction -- 2 Generalities on distributions -- 3 Differentiation -- 4 Homogeneous distributions -- 5 Direct product of distributions -- 6 Convolutions -- 7 Tempered distributions -- 8 Integral transforms -- 9 Fundamental solutions -- 10 Sobolev spaces.
520 _aThis book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.
650 0 _amathematics.
_9566183
650 0 _aFourier analysis.
_9566348
650 0 _aFunctional analysis.
_9566329
650 0 _aDifferential Equations.
_9303496
650 0 _aPartial Differential Equations.
_9303602
650 1 4 _aMathematics.
_9566184
650 2 4 _aFunctional Analysis.
_9566330
650 2 4 _aOrdinary Differential Equations.
_9303501
650 2 4 _aPartial Differential Equations.
_9303602
650 2 4 _aFourier Analysis.
_9566349
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-19527-8
912 _aZDB-2-SMA
999 _c414738