List of harmonic analysis topics and Spherical harmonics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between List of harmonic analysis topics and Spherical harmonics

List of harmonic analysis topics vs. Spherical harmonics

This is a list of harmonic analysis topics. In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere.

Similarities between List of harmonic analysis topics and Spherical harmonics

List of harmonic analysis topics and Spherical harmonics have 8 things in common (in Unionpedia): Fourier series, Irreducible representation, Orthogonal functions, Parseval's theorem, Periodic function, Signal processing, Sobolev space, Trigonometric functions.

Fourier series

In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.

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In mathematics, specifically in the representation theory of groups and algebras, an irreducible representation (\rho, V) or irrep of an algebraic structure A is a nonzero representation that has no proper subrepresentation (\rho|_W,W), W \subset V closed under the action of \. Every finite-dimensional unitary representation on a Hermitian vector space V is the direct sum of irreducible representations.

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Orthogonal functions

In mathematics, orthogonal functions belong to a function space which is a vector space that has a bilinear form.

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Parseval's theorem

In mathematics, Parseval's theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform.

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Periodic function

In mathematics, a periodic function is a function that repeats its values in regular intervals or periods.

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Signal processing

Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.

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Sobolev space

In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of ''Lp''-norms of the function itself and its derivatives up to a given order.

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Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.

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The list above answers the following questions

What List of harmonic analysis topics and Spherical harmonics have in common
What are the similarities between List of harmonic analysis topics and Spherical harmonics

List of harmonic analysis topics and Spherical harmonics Comparison

List of harmonic analysis topics has 73 relations, while Spherical harmonics has 146. As they have in common 8, the Jaccard index is 3.65% = 8 / (73 + 146).

References

This article shows the relationship between List of harmonic analysis topics and Spherical harmonics. To access each article from which the information was extracted, please visit:

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