| Record ID | marc_columbia/Columbia-extract-20221130-007.mrc:19726307:2942 |
| Source | marc_columbia |
| Download Link | /show-records/marc_columbia/Columbia-extract-20221130-007.mrc:19726307:2942?format=raw |
LEADER: 02942mam a22003374a 4500
001 3015892
005 20221019193139.0
008 010216t20012001nyu b 001 0 eng
010 $a 2001030348
020 $a1560729058
035 $a(OCoLC)ocm46359333
035 $9ATG2601CU
035 $a3015892
040 $aDLC$cDLC$dC#P$dOrLoB-B
042 $apcc
050 00 $aQC1$b.A4114 vol. 237$aQC20.7.T45
082 00 $a530.15/5782$221
100 1 $aDemidov, A. S.$0http://id.loc.gov/authorities/names/n2001000346
245 10 $aGeneralized functions in mathematical physics :$bmain ideas and concepts /$cA.S. Demidov.
260 $aHuntington, N.Y. :$bNova Science Publishers,$c[2001], ©2001.
300 $axiii, 131 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aHorizons in world physics ;$vvol. 237
504 $aIncludes bibliographical references (p. 125-127) and index.
505 00 $gCh. 1.$tIntroduction to problems of mathematical physics.$g1.$tTemperature at a point? No! In volumes contracting to the point.$g2.$tThe notion of [delta]-sequence and [delta]-function.$g3.$tSome spaces of smooth functions. Partition of unity.$g4.$tExamples of [delta]-sequences.$g5.$tOn the Laplace equation.$g6.$tOn the heat equation.$g7.$tThe Ostrogradsky-Gauss formula. The Green formulae and the Green function.$g8.$tThe Lebesgue integral.$g9.$tThe spaces L[superscript p] and L[subscript loc][superscript p].$g10.$tFunctions of L[subscript loc][superscript 1] as linear functional on C[subscript 0][superscript [infinity]].$g11.$tSimplest hyperbolic equations. Generalized Sobolev solutions --$gCh. 2.$tThe spaces D[actual symbol not reproducible], D[superscript #] and D[prime]. Elements of the distribution theory (generalized function in the sense of L. Schwartz).$g12.$tThe space D[actual symbol not reproducible]of the Sobolev derivatives.$g13.$tThe space D[superscript #] of generalized functions.
505 80 $g14.$tThe problem of regularization.$g15.$tGeneralized functions with a point support. The Borel theorem.$g16.$tThe space D[prime] of generalized functions (distributions by L. Schwartz) --$gCh. 3.$tThe spaces H[superscript s]. Pseudodifferential operators.$g17.$tThe Fourier series and the Fourier transform. The spaces S and S[prime].$g18.$tThe Fourier-Laplace transform. The Paley-Wiener theorem.$g19.$tFundamental solutions. Convolution.$g20.$tOn spaces H[superscript s].$g21.$tOn pseudodifferential operators (PDO).$g22.$tOn elliptic problems.$tAddendum: A new approach to the theory of generalized functions /$rYu. V. Egorov.
650 0 $aTheory of distributions (Functional analysis)$0http://id.loc.gov/authorities/subjects/sh85038549
650 0 $aMathematical physics.$0http://id.loc.gov/authorities/subjects/sh85082129
830 0 $aHorizons in world physics ;$vv. 237.$0http://id.loc.gov/authorities/names/no97047846
852 00 $bphy$hQC20.7.T45$iD46 2001g