Hörmander L. — The Analysis Of Linear Partial Differential Operators III :: Электронная библиотека попечительского совета мехмата МГУ

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Hörmander L. — The Analysis Of Linear Partial Differential Operators III

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Название: The Analysis Of Linear Partial Differential Operators III

Автор: Hörmander L.

Аннотация:

From the reviews:

"Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987.

"This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2007

Количество страниц: 526

Добавлена в каталог: 11.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Admissible perturbation      279
Asymptotic completeness      277
Asymptotic completeness, sum      66
Besov space      472
Bicharacteristic      310
Bicharacteristic, broken      426
Bicharacteristic, foliation      74
Bicharacteristic, generalized      434
Bicharacteristic, one dimensional      97
Bicharacteristic, relation      69
Bicharacteristic, two dimensional      112
Blowup      128
Bott operator      209
Calder $\acute{o}$ n projector      236
Calder $\acute{o}$ n projector, uniqueness theorem      220
Canonical relation      290
Canonical relation, transformation      271
Cauchy problem      385
Characteristic      87 251 27
Clean composition      291
Clean composition, intersection      491
Clean composition, phase function      292
Coerciveness      234
Commutation relations      271
Compressed broken bicharacteristic      426
Compressed broken bicharacteristic, cotangent bundle      130
Compressed broken bicharacteristic, generalized bicharacteristic      435
Condition ( $\bar{\psi}$ )      96
Condition ( $\Psi$ )      96
Condition (P)      110
Cone supp      448
Conic manifold      278
Conormal distribution      100
Covering condition      234
Darboux theorem      273
Darboux theorem, homogeneous      279
Diffractive set      432
Dirichlet problem      24
Dirichlet problem, principle      28
Distorted Fourier transform      277
Douglis — Nirenberg operator      228
Eiconal equation      104
Elliptic boundary problem      233
Elliptic boundary problem, complex      222
Elliptic boundary problem, operator      87 27
Elliptic boundary problem, set      424
Energy integral method      47 386 418 443 118 286
Excess      292 491
Exponential map      37
Fefferman — Phong inequality      171
fold      492
Foliation      487
Fourier integral operator      17 43
Fourier integral operator, $L^{2}$ continuity      25 48
Fourier integral operator, composition      2/ 47
Fredholm complex      189
Fredholm complex, operator      181
Friedrichs’ lemma      9
Frobenius theorem      485
Fundamental matrix      321
g continuity      142
Generalized bicharacteristic      434
Generalized bicharacteristic, geodesic      272
Generating function      26
Geodesic coordinates      32 500
Glancing hypersurfaces      311
Glancing hypersurfaces, set      431
Gliding ray      432
Gliding ray, set      432
Gliding ray, vector field      434
Hadamard construction      30
Hamilton field      271 272
Hamilton field, foliation      286
Hamilton field, map      321
Hilbert — Schmidt operator      185
Hyperbolic set      424
Hypoelliptic operator      348
Hypoelliptic operator, set      461
Hypoelliptic operator, symbol      350
Involution      493
Involutive submanifold      285
Involutive submanifold, subspace      283
Isotropic submanifold      285
Isotropic submanifold, subspace      283
Isotropic submanifold, vector      417
Jacobi identity      272
Kolmogorov equation      353

Lacunary condition      114
Lagrangian distribution      4
Lagrangian distribution, Grassmannian      328
Lagrangian distribution, ideal      36
Lagrangian distribution, positive ideal      40
Lagrangian distribution, submanifold      285
Lagrangian distribution, subspace      283
Leaf of foliation      487
Lefschetz formula      223
Lie derivative      22
Limiting absorption principle      295
Lopatinski — Schapiro condition      234
Lorentz signature      417
Manifold with boundary      482
Manifold with boundary, with corner      129
Maslov bundle      334
Melin’s inequality      364
Microhypoelliptic      348
Microlocal property      80
Microsubelliptic      165
Modified distorted Fourier transform      314 327 329
Modified distorted Fourier transform, wave operator      309
Nirenberg — Treves estimate      134
Non-degenerate fixed point      225
Non-degenerate fixed point of positive type      37
Non-degenerate fixed point, phase function      292
Parametrix      34 87 223 238
Poisson bracket      271 272
Polyhomogeneous symbol      67
Positive Lagrangian ideal      40
Positive Lagrangian ideal, canonical ideal      43
Positive Lagrangian ideal, plane      325
Principal symbol      86 104 228 243 13
Principal type      65 163
Principally normal      238
Proper composition      18
Properly supported      86
Pseudo-convex      67
Pseudo-differential operator      68 85
Pseudo-differential operator, adjoint      69 159
Pseudo-differential operator, change of variables      81
Pseudo-differential operator, continuity      74 75 162 164 169
Pseudo-differential operator, multiplication      71 155
Pseudo-differential operator, parametrix      72 87 88
Pseudo-local property      80
Quasi-concave      145
Radial vector field      277
Real principal type      65
Refined principal symbol      93
Reflected exponential map      38
Reflection bundle      494
Semi-bicharacteristic      96
Semi-concave      145
Sharp Garding inequality      76 170 178
Short range      279
Slowly varying metric      142
Solvability      92 94
Spacelike vector      417
Spectral function      44
Stretched product      129
Strictly hyperbolic operator      394
Strongly pseudo-convex      239
Subelliptic      165 166
Subprincipal symbol      83 161
Symbol      65 142
Symplectic basis      270
Symplectic basis, density      274
Symplectic basis, form      269
Symplectic basis, isomorphism      270
Symplectic basis, manifold      271
Symplectic basis, subspace      283
Symplectic basis, vector space      269
Symplectomorphism      271
Temperature metric      153
Temperature metric, weight      153
Timelike vector      417
Totally characteristic differential operator      113
Totally characteristic differential operator, pseudo-differential operator      131
Trace class operator      187
Transmission condition      105
Transversal composition      19 44
Transversal composition, ellipticity      361
Transversal composition, intersection      490
Transversal composition, order      483
Tricomi operator      405
Twisted canonical relation      294
Weakly continuous form      147

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