Hyers D.H., Isac G., Rassias T.M. — Stability of functional equations in several variables :: Электронная библиотека попечительского совета мехмата МГУ

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Hyers D.H., Isac G., Rassias T.M. — Stability of functional equations in several variables

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Название: Stability of functional equations in several variables

Авторы: Hyers D.H., Isac G., Rassias T.M.

Аннотация:

The notion of stability of functional equations has been an area of revision and development for the past 20 years, having its origins more than half a century ago when S. Ulam posed the fundamental problem and D. H. Hyers gave the first significant partial solution. This volume is unique in that (to date) none exists as a comprehensive examination to the subject.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 317

Добавлена в каталог: 08.12.2009

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Предметный указатель

Net      113
Neutral element      151
nice      255
Nilpotent      109
Non-commutative groups      2
Nonlinear equations      30
Nonsingular      107
Normed algebra      103
Normed associative division algebra      190
Normed associative division algebra, real or complex      105
Normed vector space      13
Nth-difference      155
Numerical range      115
Off-diagonal negative      38
Open mapping      253
Order-bounded      93
Ordered topological vector space      179
Ordered vector space      35
Ordering      30
Ordering relation      93
Ordinary quadratic functions      215
Orthogonal complement      182
Orthogonal pairs      192
Orthogonality additive      193
Orthogonality space      192
Orthogonally additive      270
Orthogonally exponential functions      276
Orthonormal basis      180
Orthonormal eigenfunctions      244
Orthonormal set      180
Orthonormal system      180
P-asymptotically, additive      44
P-asymptotically, close      43
P-asymptotically, derivable      43
P-homogeneous mapping      72
permutations      156
Perturbations      1
Phase equivalent      189
Poincare — Bohl theorem      39
Pointwise multiplication      123
polar      45 156
Polar biadditive      51
Polarization formula      156
Polynomial      6 155
Polynomial transformations      155
Positive definite Hermitian form      191
Positive definite quadratic form      234
Positive inner Lebesgue measure      210 280
Positive Lebesgue measure      172 261
Power associative groupoid      2 79
Power series      123
Product vector space      151
Projective topology      289
Purely algebraic      100
Quadratic      45
Quadratic function      45
Quadratic functional equation      4 45
Quadratic selection      226
quantum mechanics      191
Quasi-additive      9 277
Quasi-interior point      30
Quasi-normed space      229
Quasiconvex      176
Quaternionic Hilbert space      190 191
Quaternions      103 190
Quotient      123
Radical algebra      120
Random case      34
rational      255
Rational linear mapping      258
Rational vector space      103
REAL      255
Real characters      257
Real classical Hilbert space      187
Recursion formula      167
Reduced form      81
Reduction theorems      83
Regularity conditions      246
Relativity      191
Representation theorem      4
Restricted domain      20
Right invariant mean      85
Roots of unity      259

Schwaiger's Theorem      24
Schwartz inequality      121 245
Second category      248
Sections      150
Semi-reflexive      83
Semi-tinite interval      156
Semigroup      80 84
Semigroup, cancellative commutative      262
Semigroup, free      81
Semilinear      170
Separable Hilbert space      131
Sequential closure      78 213
Sequentially complete      3
SIMPLE      106 151
Sine and cosine functional equation      136
Sine equation      136
Singular case      282
Skof — Cholewa theorem      45
Spectral radius      30 120
Spectrum      119
Stability of minimum points      233
Stability of the system      151
Stable characters      112
Steinhaus's theorem      280
Strange      255
Strange characters      257
Strange rational character      256
Strictly convex      174
Strong unit      92
Strongly separating      116
Sub-additive      106 204
Subalgebra      105
Subgroups      81
Subharmonic functions      179
Submultiplicative      107
Subnets      114
Subquadratic      8 216
Sufficient condition      238
Superstability      23 102 136
Superstable      3
Supnorm      92
Surjections      97
Symmetric k-additive function      156
System of inequalities      151
Tangent condition      239
Taylor's theorem      235
Theorem of Gleason      119
Topological groups      84
Topological groups, Abelian      246
Topological groups, locally compact      261
Topological index defined on cones      35
Topological space      98
Topological space, locally convex Hausdorff      3
Topological vector space sequentially complete Hausdorff      78
Topological vector space, real Hausdorff      198
Topological vector space, sequentially complete      2
topologies      100
Total differential      234
Transitive binary relation      207
Translates      85
Translates, left      85
Translates, right      85 103
Triangle inequality      16 134
Trigonometric functions      147
Trivial orthogonality      192
Two-divisible      193
Two-sided ideal      105
Uniformly continuous isomorphism      94 313
Uniformly equivalent      95
Unitary and antiunitary operators      189
Unsolved problem      192
Upper semicontinuous      179 205
Utility values      35
Van der Corput's condition      269
Van der Corput's theorem      259
Variational problem      235
Vector lattice      36
Weakly compact      234
Weakly lower semicontinuous      234
Wigner equivalent      191
Wigner's Theorem      189
Word      81
Zero ideal      107

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