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Schechter M. — Spectra of partial differential operators
Schechter M. — Spectra of partial differential operators



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Название: Spectra of partial differential operators

Автор: Schechter M.

Аннотация:

New material, improvements and recent advances have been added to this second revised edition. The volume examines the general theory for constant coefficient operators, elliptic operators, the L 2 theory for operators bounded from below, and self-adjoint operators. A comprehensive theory for second order operators is given, and applied to quantum mechanical systems of particles. Since many of the topics treated here are of interest to chemists, engineers, mathematicians and physicists, the volume begins with background and reference material.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2 Sub

Год издания: 1986

Количество страниц: 320

Добавлена в каталог: 17.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
A-bounded      8
A-compact      9
Adjoint      9
Almost locally in ${L}^{r},$      11
Associated operator      21
Banach space      1
Bessel potentials      IP
Bilinear form      21
Bound states      266
Bounded from below      33
Bounded operator      5
Bounded set      2
Cartesian product      4
Caucby sequence      2
Closable operator      5
Closed graph theorem      6
Closed operator      5
Closure of an operator      6
Clusters      254
Compact operator      7
Compact set      2
Complete polynomial      297
completely continuous      7
Completion      4
Complex interpolation      18 285
Concentration spectrum      284
Condensation spectrum      284
Conjugate linear      8
Conjugate of an operator      7
Continuous embedding      21
Continuous linear operator      5
Convolution      41
Cosct      5
Coulomb potential      261
Dense      3
Dense embedding      22
DIMENSION      2
Domain of an operator      5
Eigenelement      16
Eigenvalue      16
Eigenvector      16
Elliptic operator      55
Embedding operator      22
Essential self-adjointness      32
Essential spectrum      14
Euclidean space      39
Extended operator      22
Extension      6
Finite rank      7
Fred holm      12
Free particle      261
Free states      266
Functional      6
Ground state      266
Hardy Litrlewood inequality      126
Heat operator      70
Hilbcrt Schmidt operator      202
Hilbert space      4
Hydrogen molecular ion      262
Hypoelliptic operator      56
Integration by parts      54
Intermediate extension      23
Interpolation      18
Inverse      6
Kronecker delta      4
Laplace operator      69
Laplacian      198
Lax — Milgram lemma      25
Limit points of spectrum      284
Limit spectrum      284
linear combination      2
Linear operator      5
Linearly dependent      2
Linearly independent      2
Maximal extension      60
Minimal extension      57
MolhTier      287
Multiplier in tf      44
Norm      2
Normalized eigenelement      16
Normed linear space      3
Normed vector space      3
Null space      5
Onto      5
Orthogonal      4
Orthonormal      4
Potentk I energy      260
Preclos J operator      5
Principal part      53
RANGE      5
Rearrangement      127
Reflexive      13
Regularly accretive      23
Resolvent set      13
s-extension      149
scalar      1
Scalar product      4
Schrddinger operator      260
Self-adjoint      30
Semi-elliptic operator      70
Senu — Fredholm      283
Singular sequence      15
Singular spectrum      284
Sobolev inequality      125
Spectral decomposition      37
Spectral family      37
Spectral theorem      37
Spectrum      13
Stable system      277
Stationary states      266
Strong extension      58
Strongly elliptic      169
Support of a function      39
Symmetric bilinear form      33
Symmetric operator      31
Two particle systems      262
Vector      1
W-Z extension      23
Wave operator      69
Weak convergence      4
Weak extension      60
Zeeroan effect      271
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