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Ferrera J. (Ed), Lopez-Gomez J. (Ed) — Ten Mathematical Essays on Approximation in Analysis and Topology
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Название: Ten Mathematical Essays on Approximation in Analysis and TopologyАвторы: Ferrera J. (Ed), Lopez-Gomez J. (Ed) Аннотация: This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century. Besides the papers contain the very ultimate results in each of their respective fields, many of them also include a series of historical remarks about the state of mathematics at the time they found their most celebrated results, as well as some of their personal circumstances originating them, which makes particularly attractive the book for all scientist interested in these fields, from beginners to experts. These gem pieces of mathematical intra-history should delight to many forthcoming generations of mathematicians, who will enjoy some of the most fruitful mathematics of the last third of 20th century presented by their own authors.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2005Количество страниц: 270Добавлена в каталог: 23.05.2008Операции: Положить на полку |
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Laloux, H. 164 175 Lancaster, P. 174 Laplace, PS. 2 5 78 100 101 107 109 111 114 121 122 232 248 252 Laurent, P.A. 167 175 Lawruk, B. 176 Lax, P.D. 133 Lebesgue number 64 Lebesgue, H. 64 65 67 79 80 111 118 137 143 Ledoux, P. 207 Leela, S.G. 129 149 Lefschetz, S. 180 196 200 213 Lei, J. 233 234 Leray — Schmider formula 158 Leray, J. 152 157 159 174 175 199 204—213 Levi, M. 220 233 Levi-Civita, T. 216 234 Levin, M. 185 196 Levinson, N. 129 Li, X. 234 Lie, S. 98 Lienard, A. 206 207 Light map 89 Lindeloeff, E. 182 Lindenstrauss, J. 239 243 Lions, J.L. 57 116 120 Liouville, J. 218 219 Lipschitz, R. 3 67 68 74 77 78 81 82 92 93 126 143 200 202 206—209 211 240 255 Liu, B. 234 Lloyd, N.G. 159 175 234 Lobo-Hidalgo, M. 109 118 122 Locally finite cover 64 Lokucievskii, O.V. 196 Lomonosov, V. 238 243 Lopez-Gomez, J. 17 20 27 56 108 122 151 160 161 166—168 170 174 175 Lotka, A.J. 59 Lotz, H.P. 57 Lubotzky, A. 77 93 Luna, G. 239 243 Lune, A.L. 1 Lyapunov, A.M. 130 201 202 205 216 217 233 MacLane, S. 83 182 Magnus, R.J. 164 168 169 175 Magnus, W. 219 234 Mancebo, F.J. 58 Mapping approximation problem 82 Mapping of systems 179 Mardesic, S. 177 184—186 188—100 106 197 Markus, A.S. 175 Martinez, A. 109 120 121 Matijevic, V. 191 197 Matousek, J. 94 Mawhin, J. 159 164 175 199 204 207 213 214 Maximum principle 11 Maximum principle characterization 4 16 Maximum principle for irregular domains 103 Maximum principle, characterization of the refined 104 Maximum principle, refined 104 Maximum principle, strong 15 Maximum principle, very weak 3 4 11 Maximum principle, weak 11 37 Mazur, S. 240 Mean curvature 101 Merino, S. 58 Metrically proper map 63 Meyer, K. 234 Micheletti, A.M. 96 101 107 122 Milgram, A.M. 133 Minorsky, N. 200 214 Mitchell, R. 149 Mitchener, P. 94 Mitidieri, E. 57—59 Molina-Meyer, M. 59 Monniaux, S. 57 Mora-Corral, C. 166 168 170 175 176 Morita, Y. 109 121 Mortal, K. 188 193 194 197 Moscovici, H. 92 Moser, J. 216 233 234 Moustakas, U. 57 Nagami, K. 182 183 197 Nagel, R. 57 Nayroles, B. 122 Necas, J. 59 Negligibility criterion 87 Negligible compactum 86 Nemee, A.G. 197 Neubrander, F. 57 Neumann, K.G. 2 8 18 19 96 101 102 108 109 114 118 120 121 Newton, I. ix xii 140 234 Nikodym, O.M. 238 239 243 Nirenberg, L. 27 57 103 104 120 Nonlinear eigenvalue characterization theorem 159 163 Nonlinear eigenvalue concept 155 Nonresonant case 200 Novikov, P.S. 61 74 79 80 92 Nunez, D. 232 234 Nussbaum, R.D. 159 Order of an algebraic eigenvalue 162 Order of transversality 161 Ordered Banach space 9 Ortega, R. 215 228 233 234 Osgood, W. 129 Ozawa, S. 109 122 P-like space 183 Pao, C.V. 59 149 Papanicolaou, C. 116 120 Parametric resonance 215 Pardo, R. 59 Parity map 169 Pasynkov, R.A. 185 195 197 198 Peck, N.T. 242 243 Peetre, J. 98 122 Pejsachowicz, J. 159 160 174 Peletier, L.A. 17 57 Pendulum equation 215 Pereira, A.L. 102 122 Perov, A.I. 233 Perpetual stability 217 Perron, O. 58 Perturbation from simple eigenvalues 49 100 Perturbation of a periodic solution 200 Perturbation of domains 21 Perturbation of eigenspaces 101 Perturbation of positive resolvents 30 Perturbation of spectral projections 101 107 Perturbation of the resolvent 107 Perturbation, irregular, of domains 96 10 Perturbation, regular, of domains 96 Petryshyn, W.V. 159 Phelps, R.R. 235 244 Phillips, D.L. 246 261 Poincare map 205 218 219 Poincare, R. ix xi xii 58 160 205 218 219 225 231 Polyhedron 178 Pontryagin, I. 74 180 198 Positive cone 9 Positive eigenfunction 5 15 Positive injections 35 Positive inverse 11 28 Positive matrix 7 31 Positive resolvent 28 30 31 35 Positive semigroup 28 Positive strongly 15 Povolotskiy, A.L. 233 Principal eigenfunction 15 Principal eigenvalue 13 15 104 Principal eigenvalue concavity 26 Principal eigenvalue continouity properties 20 105 Principal eigenvalue limiting properties 111 Principal eigenvalue minimax characterization 24 Principal eigenvalue monotonicity 17 Prizzi, M. 115 116 122 Projection to the nerve 66 Proper metric space 63 Property, 69 Property, C 247 Protter, M.H. 16 17 59 Pruess, J. 58 Quasi-interior point 28 Quittner, P. 56 Rabier, P.J. 164 166 167 176 Rabinowitz, P.H. 162 164 169 170 174 176 Radon — Nikodym property 239 Radon, J. 238 239 243 260 262 Rainwater, J. 240 244 Ramm, A.G. 168 176 245—248 261 262 Ranicki, A. 93 Rauch, J. 109 122 Raugel, G. 108 109 114 121 122 Rayleigh, J.W.S. 100 122 Regular pair 157 Reid, C. ix Reissig, R. 207 208 214 Repovs, D. 93 Resolution of a space 186 Resonant case 200 Riemann, G.F.B. 44—46 60 81 93 94 210 Riesz, F. 210 211 Robbin, J. 101 120 Robin, L. 2 8 19 20 24 57 100 101 108 121 122 Roc, J. 65 75 93 94 Rockafellar, R.T. 241 243 Rodman, L. 174 Ronati, C. 228 233 Roppongi, S. 109 122 Rosenberg, J. 93 Rothe, E.H. 234 Rouche, E. 174 Rouche, X. 214 Row, J. 93 Rowley, B. 176 Rubin, L.R 185 188—190 196—198 Runge, C. 245 Rutman, M.A. 15 40 43 Rybakowski, R.P. 115 116 122 Sabina de Lis, J. 59 Sanchez-Palencia, E. 109 118 122 Sansone, G. 200 214 Sard, A. 157 173 176 Sarreither, P. 164 176 Sattinger, D. 59 Saul, J.C. 102 122 Scattering solution 254 Schaeffer, D.G. 174 Schapiro, P.J. 196 198 Schauder, J. 152 157 159 174—176 199 200 204 Schepin, E.V. 93 Schiffer, M. 100 121 Schlotterbeck, F. 57 Schmidt, E. 201 202 205 210 214 Schmitt, K. 57 59 Schroedinger, E. 57 118 120 253 254 Schrohe, E. 58 Schwarz, H.A. 211 Seco, L.A. 109 121 Sedziwy, S. 207 214 Segal J. 197 Sell, G. 234 Serrin, J. 99 122 Set of non-trivial solutions 154 Shaefer, H.H. 59 Shape functor 191 Shape theory 173 191 Shapiro, P.J. 185 Shchepin, E.V. 94 Shivakumar, P.N. 261 Siegel, C. 234 Sierpiniski, W. 1 &4 Sigal, E.L. 164 168 174—176 Simon, B. 109 121 Simple compactum 87 Simple complex 85 Simple eigenvalue 5 simplex 178 Skandalis, C. 94 Skordev, G. 198 Smale, S. 157 173 176 Smienova, A.B. 262 Smirnov, Ju.M. 195 198 Smith form concept 167 Smith form, characterization of the existence 167 Smith, H.J.S. 164 166 167 175 176 Smoller, J. 59 Sobolev, S.L. 10 38 44 55 255 Solution, strong 12 331 Solution, T-periodic 399 224 Solution, very weak 13 33 Solution, weak 13 33 133 Spagnolo, S. 116 121 Special basis 87 Spectral bound 9 Spectral extrapolation 248 257 Spectrum of 154 Spherical anti-Cech V-approximation 67 Spherical metric 67 Spherical V-approximation 67 Spiez, S. 94 Sprekels, J. 120 Stability of a measure 233 Stable approximation 246 Stampacchia, G. 59 60 Stanko, M.A. 91 94 Steenrod, N.K. 65 196 Stewart, I. xii Stollmann, P. 60 Stone, A.H. 72 198 Stoppelli, R. 207 214 Strauss, A.V. 261 Strong expansion 194 Strongly positive eigenfunction 15 Strongly positive function 15 Stummel 109 122 Sturm, H.Th. 60 Subsolution, weak 55 133 Successive approximations 126 Supersolution, strict 5 16 Supersolution, very weak 5 Supersolution, weak 55 133 Sweers, G. 57 59 60 Symplectic group 219 Takac, P. 60 Taylor, B. 96 224 251 Taylor, M. 109 122 Temam, R. 102 122 Tikhonov, A.N. 246 262 Topological complexity 173 Topological degree additivity property 156 Topological degree calculation 158 223 Topological degree concept 156 204 222 Topological degree construction 159 205 Topological degree excision property 156 222 Topological degree existence property 157 222 Topological degree homotopy invariance 157 204 222 Topological degree Leray — Schauder formula 158 223 Topological degree normalization property 156 Topological degree of a regular pair 158 Topological degree of an holomorphic function 157 Topological degree stability under small perturbations 204 Topological degree uniqueness theorem 156 Topological index 158 222
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