LEADER 02201nam a2200337 i 4500 001 991000646379707536 008 041122s2000 nyu b 001 0 eng d 020 $a0471179760 035 $ab1325179x-39ule_inst 040 $aDip.to Matematica $beng 082 0 $a515.7$221 084 $aAMS 46N 084 $aLC QA320.A913 100 1 $aAubin, Jean Pierre$054013 245 10$aApplied functional analysis /$cJean-Pierre Aubin ; exercises by Bernard Cornet and Jean-Michel Lasry ; translated by Carole Labrousse 250 $a2nd ed. 260 $aNew York :$bWiley,$cc2000 300 $axvi, 495 p. ;$c24 cm 440 0$aPure and applied mathematics. A Wiley-Interscience series of texts, monographs, and tracts,$x0079-8185 500 $a"A Wiley-Interscience publication" 504 $aIncludes bibliographical references (p. 488-491) and index 505 0 $aIntroduction: A Guide to the Reader ; 1. The Projection Theorem ; 2. Theorems on Extension and Separation ; 3. Dual Spaces and Transposed Operators ; 4. The Banach and the Banach-Steinhaus Theorem ; 5. Construction of Hilbert Spaces ; 6. L[superscript 2] Spaces and Convolution Operators ; 7. Sobolev Spaces of Functions of One Variable ; 8. Some Approximation Procedures in Spaces of Functions ; 9. Sobolev Spaces of Functions of Several Variables and the Fourier Transform ; 10. Introduction to Set-Valued Analysis and Convex Analysis ; 11. Elementary Spectral Theory ; 12. Hilbert-Schmidt Operators and Tensor Products ; 13. Boundary Value Problems ; 14. Differential-Operational Equations and Semigroups of Operators ; 15. Viability Kernels and Capture Basins ; 16. First-Order Partial Differential Equations ; Selection of Results. 650 0$aFunctional analysis 650 0$aHilbert space 856 4 $3Table of Contents$uhttp://www.loc.gov/catdir/toc/onix03/99015355.html$zTable of contents 907 $a.b1325179x$b07-04-22$c22-11-04 912 $a991000646379707536 945 $aLE013 46N AUB11 (2000)$g1$i2013000149639$lle013$op$pE110.57$q-$rl$s- $t0$u3$v1$w3$x0$y.i13957971$z09-12-04 996 $aApplied functional analysis$932464 997 $aUNISALENTO 998 $ale013$b22-11-04$cm$da $e-$feng$gnyu$h0$i0