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- Isospectral abstract "In mathematics, two linear operators are called isospectral or cospectral if they have the same spectrum. Roughly speaking, they are supposed to have the same sets of eigenvalues, when those are counted with multiplicity.The theory of isospectral operators is markedly different depending on whether the space is finite or infinite dimensional. In finite-dimensions, one essentially deals with square matrices.In infinite dimensions, the spectrum need not consist solely of isolated eigenvalues. However, the case of a compact operator on a Hilbert space (or Banach space) is still tractable, since the eigenvalues are at most countable with at most a single limit point λ = 0. The most studied isospectral problem in infinite dimensions that of the Laplace operator on a domain in R2. Two such domains are called isospectral if their Laplacians are isospectral. The problem of inferring the geometrical properties of a domain from the spectrum of its Laplacian is often known as hearing the shape of a drum.".
- Isospectral wikiPageID "386031".
- Isospectral wikiPageLength "9176".
- Isospectral wikiPageOutDegree "36".
- Isospectral wikiPageRevisionID "621088616".
- Isospectral wikiPageWikiLink Banach_space.
- Isospectral wikiPageWikiLink Category:Spectral_theory.
- Isospectral wikiPageWikiLink Class_field_theory.
- Isospectral wikiPageWikiLink Compact_operator.
- Isospectral wikiPageWikiLink Complex_number.
- Isospectral wikiPageWikiLink Covering_space.
- Isospectral wikiPageWikiLink David_Webb_(mathematician).
- Isospectral wikiPageWikiLink Deck_transformation.
- Isospectral wikiPageWikiLink Dedekind_zeta_function.
- Isospectral wikiPageWikiLink Diagonalizable_matrix.
- Isospectral wikiPageWikiLink Eigenvalue.
- Isospectral wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Isospectral wikiPageWikiLink Ernst_Witt.
- Isospectral wikiPageWikiLink Finite_group.
- Isospectral wikiPageWikiLink Hearing_the_shape_of_a_drum.
- Isospectral wikiPageWikiLink Hilbert_space.
- Isospectral wikiPageWikiLink Infinitesimal.
- Isospectral wikiPageWikiLink John_Milnor.
- Isospectral wikiPageWikiLink Laplace_operator.
- Isospectral wikiPageWikiLink Lax_pair.
- Isospectral wikiPageWikiLink Linear_map.
- Isospectral wikiPageWikiLink Linear_operator.
- Isospectral wikiPageWikiLink Mark_Kac.
- Isospectral wikiPageWikiLink Mathematics.
- Isospectral wikiPageWikiLink Matrix_(mathematics).
- Isospectral wikiPageWikiLink Matrix_similarity.
- Isospectral wikiPageWikiLink Multiplicity_(mathematics).
- Isospectral wikiPageWikiLink Parameter.
- Isospectral wikiPageWikiLink Peter_Lax.
- Isospectral wikiPageWikiLink Selberg_trace_formula.
- Isospectral wikiPageWikiLink Selberg_zeta_function.
- Isospectral wikiPageWikiLink Set_(mathematics).
- Isospectral wikiPageWikiLink Similar_(linear_algebra).
- Isospectral wikiPageWikiLink Soliton.
- Isospectral wikiPageWikiLink Spectral_geometry.
- Isospectral wikiPageWikiLink Spectrum_(functional_analysis).
- Isospectral wikiPageWikiLink Spectrum_of_an_operator.
- Isospectral wikiPageWikiLink Toshikazu_Sunada.
- Isospectral wikiPageWikiLinkText "Isospectral".
- Isospectral wikiPageWikiLinkText "Sunada method".
- Isospectral wikiPageWikiLinkText "isospectral".
- Isospectral wikiPageWikiLinkText "isospectrally".
- Isospectral hasPhotoCollection Isospectral.
- Isospectral wikiPageUsesTemplate Template:Citation.
- Isospectral wikiPageUsesTemplate Template:Citation_needed.
- Isospectral wikiPageUsesTemplate Template:Harvtxt.
- Isospectral wikiPageUsesTemplate Template:Reflist.
- Isospectral subject Category:Spectral_theory.
- Isospectral hypernym Isospectral.
- Isospectral type Article.
- Isospectral type Algebra.
- Isospectral type Article.
- Isospectral comment "In mathematics, two linear operators are called isospectral or cospectral if they have the same spectrum. Roughly speaking, they are supposed to have the same sets of eigenvalues, when those are counted with multiplicity.The theory of isospectral operators is markedly different depending on whether the space is finite or infinite dimensional. In finite-dimensions, one essentially deals with square matrices.In infinite dimensions, the spectrum need not consist solely of isolated eigenvalues.".
- Isospectral label "Isospectral".
- Isospectral sameAs m.0225x_.
- Isospectral sameAs Q6086323.
- Isospectral sameAs Q6086323.
- Isospectral wasDerivedFrom Isospectral?oldid=621088616.
- Isospectral isPrimaryTopicOf Isospectral.