Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Harmonic_analysis> ?p ?o }
- Harmonic_analysis abstract "Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis). In the past two centuries, it has become a vast subject with applications in areas as diverse as signal processing, quantum mechanics, tidal analysis and neuroscience.The term "harmonics" originated as the ancient Greek word, "harmonikos," meaning "skilled in music." In physical eigenvalue problems it began to mean waves whose frequencies are integer multiples of one another, as are the frequencies of the harmonics of music notes, but the term has been generalized beyond its original meaning.The classical Fourier transform on Rn is still an area of ongoing research, particularly concerning Fourier transformation on more general objects such as tempered distributions. For instance, if we impose some requirements on a distribution f, we can attempt to translate these requirements in terms of the Fourier transform of f. The Paley–Wiener theorem is an example of this. The Paley–Wiener theorem immediately implies that if f is a nonzero distribution of compact support (these include functions of compact support), then its Fourier transform is never compactly supported. This is a very elementary form of an uncertainty principle in a harmonic analysis setting. See also: Convergence of Fourier series.Fourier series can be conveniently studied in the context of Hilbert spaces, which provides a connection between harmonic analysis and functional analysis.".
- Harmonic_analysis thumbnail Light_wave_harmonic_diagram.svg?width=300.
- Harmonic_analysis wikiPageExternalLink fourier.pdf.
- Harmonic_analysis wikiPageExternalLink amoreaccuratefouriertransform.
- Harmonic_analysis wikiPageID "14147".
- Harmonic_analysis wikiPageLength "9067".
- Harmonic_analysis wikiPageOutDegree "59".
- Harmonic_analysis wikiPageRevisionID "680570935".
- Harmonic_analysis wikiPageWikiLink Abelian_group.
- Harmonic_analysis wikiPageWikiLink Bessel_function.
- Harmonic_analysis wikiPageWikiLink Category:Harmonic_analysis.
- Harmonic_analysis wikiPageWikiLink Compact_support.
- Harmonic_analysis wikiPageWikiLink Convergence_of_Fourier_series.
- Harmonic_analysis wikiPageWikiLink Dimension.
- Harmonic_analysis wikiPageWikiLink Dimension_(mathematics_and_physics).
- Harmonic_analysis wikiPageWikiLink Distribution_(mathematics).
- Harmonic_analysis wikiPageWikiLink Domain_(mathematics).
- Harmonic_analysis wikiPageWikiLink Domain_of_a_function.
- Harmonic_analysis wikiPageWikiLink Eigenvalue.
- Harmonic_analysis wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Harmonic_analysis wikiPageWikiLink Eigenvector.
- Harmonic_analysis wikiPageWikiLink Fourier_analysis.
- Harmonic_analysis wikiPageWikiLink Fourier_series.
- Harmonic_analysis wikiPageWikiLink Fourier_transform.
- Harmonic_analysis wikiPageWikiLink Function_(mathematics).
- Harmonic_analysis wikiPageWikiLink Functional_analysis.
- Harmonic_analysis wikiPageWikiLink Graph_(mathematics).
- Harmonic_analysis wikiPageWikiLink Group_(mathematics).
- Harmonic_analysis wikiPageWikiLink Group_representation.
- Harmonic_analysis wikiPageWikiLink Hardy_space.
- Harmonic_analysis wikiPageWikiLink Harmonic.
- Harmonic_analysis wikiPageWikiLink Harmonic_(mathematics).
- Harmonic_analysis wikiPageWikiLink Harmonic_series_(music).
- Harmonic_analysis wikiPageWikiLink Hearing_the_shape_of_a_drum.
- Harmonic_analysis wikiPageWikiLink Hilbert_space.
- Harmonic_analysis wikiPageWikiLink Laplace_operator.
- Harmonic_analysis wikiPageWikiLink Laplacian.
- Harmonic_analysis wikiPageWikiLink Lie_group.
- Harmonic_analysis wikiPageWikiLink Locally_compact_group.
- Harmonic_analysis wikiPageWikiLink Manifold.
- Harmonic_analysis wikiPageWikiLink Mathematical_analysis.
- Harmonic_analysis wikiPageWikiLink Mathematics.
- Harmonic_analysis wikiPageWikiLink Multiple_(mathematics).
- Harmonic_analysis wikiPageWikiLink Neuroscience.
- Harmonic_analysis wikiPageWikiLink Non-commutative_harmonic_analysis.
- Harmonic_analysis wikiPageWikiLink Noncommutative_harmonic_analysis.
- Harmonic_analysis wikiPageWikiLink Paley–Wiener_theorem.
- Harmonic_analysis wikiPageWikiLink Peter–Weyl_theorem.
- Harmonic_analysis wikiPageWikiLink Plancherel_theorem.
- Harmonic_analysis wikiPageWikiLink Pontryagin_duality.
- Harmonic_analysis wikiPageWikiLink Princeton_University_Press.
- Harmonic_analysis wikiPageWikiLink Quantum_mechanics.
- Harmonic_analysis wikiPageWikiLink Signal_processing.
- Harmonic_analysis wikiPageWikiLink Special_linear_group.
- Harmonic_analysis wikiPageWikiLink Spectral_density_estimation.
- Harmonic_analysis wikiPageWikiLink Spherical_harmonic.
- Harmonic_analysis wikiPageWikiLink Spherical_harmonics.
- Harmonic_analysis wikiPageWikiLink Superposition_principle.
- Harmonic_analysis wikiPageWikiLink Support_(mathematics).
- Harmonic_analysis wikiPageWikiLink Theory_of_tides.
- Harmonic_analysis wikiPageWikiLink Topological_group.
- Harmonic_analysis wikiPageWikiLink Uncertainty_principle.
- Harmonic_analysis wikiPageWikiLink Wave.
- Harmonic_analysis wikiPageWikiLink Yitzhak_Katznelson.
- Harmonic_analysis wikiPageWikiLink File:Bass_Guitar_Time_Signal_of_open_string_A_note_(55_Hz).png.
- Harmonic_analysis wikiPageWikiLink File:Fourier_Transform_of_bass_guitar_time_signal.png.
- Harmonic_analysis wikiPageWikiLink File:Light_wave_harmonic_diagram.svg.
- Harmonic_analysis wikiPageWikiLinkText "Analysis".
- Harmonic_analysis wikiPageWikiLinkText "Fourier analysis".
- Harmonic_analysis wikiPageWikiLinkText "Fourier theory".
- Harmonic_analysis wikiPageWikiLinkText "Harmonic Analysis".
- Harmonic_analysis wikiPageWikiLinkText "Harmonic analysis".
- Harmonic_analysis wikiPageWikiLinkText "abstract harmonic analysis".
- Harmonic_analysis wikiPageWikiLinkText "frequency components".
- Harmonic_analysis wikiPageWikiLinkText "harmonic analysis".
- Harmonic_analysis wikiPageWikiLinkText "harmonic analyzer".
- Harmonic_analysis wikiPageWikiLinkText "harmonic and functional analysis".
- Harmonic_analysis wikiPageWikiLinkText "harmonic constituent".
- Harmonic_analysis wikiPageWikiLinkText "harmonic".
- Harmonic_analysis wikiPageWikiLinkText "harmonic-analytic".
- Harmonic_analysis wikiPageWikiLinkText "harmonics".
- Harmonic_analysis wikiPageWikiLinkText "mathematical".
- Harmonic_analysis hasPhotoCollection Harmonic_analysis.
- Harmonic_analysis wikiPageUsesTemplate Template:Authority_control.
- Harmonic_analysis wikiPageUsesTemplate Template:For.
- Harmonic_analysis subject Category:Harmonic_analysis.
- Harmonic_analysis hypernym Branch.
- Harmonic_analysis type Article.
- Harmonic_analysis type Organisation.
- Harmonic_analysis type Article.
- Harmonic_analysis type Thing.
- Harmonic_analysis comment "Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis).".
- Harmonic_analysis label "Harmonic analysis".
- Harmonic_analysis sameAs تحليل_توافقي.
- Harmonic_analysis sameAs Хармоничен_анализ.
- Harmonic_analysis sameAs Anàlisi_harmònica.
- Harmonic_analysis sameAs Harmonische_Analyse.
- Harmonic_analysis sameAs Análisis_armónico.
- Harmonic_analysis sameAs Analyse_harmonique_(mathématiques).
- Harmonic_analysis sameAs हार्मोनिक_विश्लेषण.