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- Mercers_theorem abstract "In mathematics, specifically functional analysis, Mercer's theorem is a representation of a symmetric positive-definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one of the most notable results of the work of James Mercer. It is an important theoretical tool in the theory of integral equations; it is used in the Hilbert space theory of stochastic processes, for example the Karhunen–Loève theorem; and it is also used to characterize a symmetric positive semi-definite kernel.".
- Mercers_theorem wikiPageID "303990".
- Mercers_theorem wikiPageID "39576796".
- Mercers_theorem wikiPageLength "30".
- Mercers_theorem wikiPageLength "8841".
- Mercers_theorem wikiPageOutDegree "1".
- Mercers_theorem wikiPageOutDegree "42".
- Mercers_theorem wikiPageRedirects Mercers_theorem.
- Mercers_theorem wikiPageRevisionID "558301576".
- Mercers_theorem wikiPageRevisionID "672635484".
- Mercers_theorem wikiPageWikiLink Arzelà–Ascoli_theorem.
- Mercers_theorem wikiPageWikiLink Ascolis_theorem.
- Mercers_theorem wikiPageWikiLink Borel_set.
- Mercers_theorem wikiPageWikiLink Borel_sets.
- Mercers_theorem wikiPageWikiLink Category:Theorems_in_functional_analysis.
- Mercers_theorem wikiPageWikiLink Compact_Hausdorff_space.
- Mercers_theorem wikiPageWikiLink Compact_operator_on_Hilbert_space.
- Mercers_theorem wikiPageWikiLink Compact_space.
- Mercers_theorem wikiPageWikiLink David_Hilbert.
- Mercers_theorem wikiPageWikiLink Definite_bilinear_form.
- Mercers_theorem wikiPageWikiLink Definite_quadratic_form.
- Mercers_theorem wikiPageWikiLink Eigenfunction.
- Mercers_theorem wikiPageWikiLink Eigenvalues.
- Mercers_theorem wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Mercers_theorem wikiPageWikiLink Equicontinuity.
- Mercers_theorem wikiPageWikiLink Equicontinuous.
- Mercers_theorem wikiPageWikiLink First-countable.
- Mercers_theorem wikiPageWikiLink First-countable_space.
- Mercers_theorem wikiPageWikiLink Functional_analysis.
- Mercers_theorem wikiPageWikiLink Gramian_matrix.
- Mercers_theorem wikiPageWikiLink Hilbert_space.
- Mercers_theorem wikiPageWikiLink Hilbert–Schmidt_operator.
- Mercers_theorem wikiPageWikiLink Integral_equation.
- Mercers_theorem wikiPageWikiLink James_Mercer_(mathematician).
- Mercers_theorem wikiPageWikiLink Karhunen–Loève_theorem.
- Mercers_theorem wikiPageWikiLink Kernel_method.
- Mercers_theorem wikiPageWikiLink Kernel_trick.
- Mercers_theorem wikiPageWikiLink Konrad_Jörgens.
- Mercers_theorem wikiPageWikiLink Linear_map.
- Mercers_theorem wikiPageWikiLink Linear_operator.
- Mercers_theorem wikiPageWikiLink Lp_space.
- Mercers_theorem wikiPageWikiLink Mathematics.
- Mercers_theorem wikiPageWikiLink Mercers_condition.
- Mercers_theorem wikiPageWikiLink Mercers_theorem.
- Mercers_theorem wikiPageWikiLink Methoden_der_mathematischen_Physik.
- Mercers_theorem wikiPageWikiLink Orthonormal_basis.
- Mercers_theorem wikiPageWikiLink Orthonormal_set.
- Mercers_theorem wikiPageWikiLink Orthonormality.
- Mercers_theorem wikiPageWikiLink Philosophical_Transactions_of_the_Royal_Society.
- Mercers_theorem wikiPageWikiLink Positive-definite_kernel.
- Mercers_theorem wikiPageWikiLink Positive-definite_matrix.
- Mercers_theorem wikiPageWikiLink Positive_definite_kernel.
- Mercers_theorem wikiPageWikiLink Positive_semidefinite_matrix.
- Mercers_theorem wikiPageWikiLink Representer_theorem.
- Mercers_theorem wikiPageWikiLink Richard_Courant.
- Mercers_theorem wikiPageWikiLink Spectral_theorem.
- Mercers_theorem wikiPageWikiLink Spectral_theory.
- Mercers_theorem wikiPageWikiLink Spectral_theory_of_compact_operators.
- Mercers_theorem wikiPageWikiLink Stochastic_process.
- Mercers_theorem wikiPageWikiLink Theorem.
- Mercers_theorem wikiPageWikiLink Trace_class.
- Mercers_theorem wikiPageWikiLink Uniform_norm.
- Mercers_theorem wikiPageWikiLink Unit_ball.
- Mercers_theorem wikiPageWikiLink Unit_sphere.
- Mercers_theorem wikiPageWikiLinkText "Mercer kernel".
- Mercers_theorem wikiPageWikiLinkText "Mercer".
- Mercers_theorem wikiPageWikiLinkText "Mercer's theorem".
- Mercers_theorem wikiPageWikiLinkText "semi-definite kernel".
- Mercers_theorem hasPhotoCollection Mercers_theorem.
- Mercers_theorem id "p/m063440".
- Mercers_theorem title "Mercer theorem".
- Mercers_theorem wikiPageUsesTemplate Template:Citation.
- Mercers_theorem wikiPageUsesTemplate Template:Harv.
- Mercers_theorem wikiPageUsesTemplate Template:Merge_from.
- Mercers_theorem wikiPageUsesTemplate Template:Reflist.
- Mercers_theorem wikiPageUsesTemplate Template:Springer.
- Mercers_theorem subject Category:Theorems_in_functional_analysis.
- Mercers_theorem hypernym Representation.
- Mercers_theorem comment "In mathematics, specifically functional analysis, Mercer's theorem is a representation of a symmetric positive-definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one of the most notable results of the work of James Mercer.".
- Mercers_theorem label "Mercer's theorem".
- Mercers_theorem label "Mercers theorem".
- Mercers_theorem sameAs Satz_von_Mercer.
- Mercers_theorem sameAs Théorème_de_Mercer.
- Mercers_theorem sameAs m.01s83x.
- Mercers_theorem sameAs Q1716166.
- Mercers_theorem sameAs Q1716166.
- Mercers_theorem wasDerivedFrom Mercers_theorem?oldid=558301576.
- Mercers_theorem wasDerivedFrom Mercers_theoremoldid=672635484.
- Mercers_theorem isPrimaryTopicOf Mercers_theorem.