| Record ID | marc_columbia/Columbia-extract-20221130-004.mrc:47214262:2758 |
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LEADER: 02758fam a2200349 a 4500
001 1533735
005 20220608182929.0
008 940825t19941994mau b 001 0 eng
010 $a 94032572
020 $a0817637990 (acid-free)
035 $a(OCoLC)31132485
035 $a(OCoLC)ocm31132485
035 $9AKB1856CU
035 $a(NNC)1533735
035 $a1533735
040 $aDLC$cDLC$dNNC
050 00 $aQA639.5$b.H67 1994
082 00 $a515./94$220
100 1 $aHörmander, Lars.$0http://id.loc.gov/authorities/names/n79034501
245 10 $aNotions of convexity /$cLars Hörmander.
260 $aBoston :$bBirkhäuser,$c[1994], ©1994.
263 $a9409
300 $aviii, 414 pages ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aProgress in mathematics ;$vv. 127
500 $aIncludes bibliographical references and indexes.
505 0 $aCh. I. Convex functions of one variable. Definitions and basic facts. Some basic inequalities. Conjugate convex functions (Legendre transforms). The [Gamma] function and a difference equation. Integral representation of convex functions. Semi-convex and quasi-convex functions. Convexity of the minimum of a one parameter family of functions -- Ch. II. Convexity in a finite-dimensional vector space. Definitions and basic facts. The Legendre transformation. Geometric inequalities. Smoothness of convex sets. Projective convexity. Convexity in Fourier analysis -- Ch. III. Subharmonic functions. Harmonic functions. Basic facts on subharmonic functions. Harmonic migrants and the Riesz representation formula. Exceptional sets -- Ch. IV. Plurisubharmonic functions. Basic facts. Existence theorems in L[superscript 2] spaces with weights. Lelong numbers of Lelong numbers of plurisubharmonic functions. Closed positive currents. Exceptional sets. Other convexity conditions. Analytic functionals.
505 8 $aCh. V. Convexity with respect to a linear group. Smooth functions in the whole space. General G subharmonic functions -- Ch. VI. Convexity with respect to differential operators. P-convexity. An existence theorem in pseudoconvex domains. Analytic differential equations -- Ch. VII. Convexity and condition [Psi]. Local analytic solvability for [actual symbol not reproducible]. Generalities on projections and distance functions, and a theorem of Trepreau. The symplectic point of view. The microlocal transformation theory -- App. A. Polynomials and multilinear forms -- App. B. Commutator identities.
650 0 $aConvex domains.$0http://id.loc.gov/authorities/subjects/sh85031727
830 0 $aProgress in mathematics (Boston, Mass.) ;$vv. 127.$0http://id.loc.gov/authorities/names/n42019868
852 00 $bmat$hQA639.5$i.H67 1994