Faster access than browser!Similarities between Fourier series and Generalized Fourier series
Fourier series and Generalized Fourier series have 8 things in common (in Unionpedia): Almost everywhere, Eigenfunction, Function space, Hilbert space, Inner product space, Orthonormal basis, Square-integrable function, Sturm–Liouville theory.
Almost everywhere
In measure theory (a branch of mathematical analysis), a property holds almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities.
Almost everywhere and Fourier series · Almost everywhere and Generalized Fourier series ·
Eigenfunction
In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue.
Eigenfunction and Fourier series · Eigenfunction and Generalized Fourier series ·
Function space
In mathematics, a function space is a set of functions between two fixed sets.
Fourier series and Function space · Function space and Generalized Fourier series ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Fourier series and Hilbert space · Generalized Fourier series and Hilbert space ·
Inner product space
In linear algebra, an inner product space is a vector space with an additional structure called an inner product.
Fourier series and Inner product space · Generalized Fourier series and Inner product space ·
Orthonormal basis
In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.
Fourier series and Orthonormal basis · Generalized Fourier series and Orthonormal basis ·
Square-integrable function
In mathematics, a square-integrable function, also called a quadratically integrable function, is a real- or complex-valued measurable function for which the integral of the square of the absolute value is finite.
Fourier series and Square-integrable function · Generalized Fourier series and Square-integrable function ·
Sturm–Liouville theory
In mathematics and its applications, a classical Sturm–Liouville theory, named after Jacques Charles François Sturm (1803–1855) and Joseph Liouville (1809–1882), is the theory of a real second-order linear differential equation of the form where y is a function of the free variable x. Here the functions p(x), q(x), and w(x) > 0 are specified at the outset.
Fourier series and Sturm–Liouville theory · Generalized Fourier series and Sturm–Liouville theory ·
The list above answers the following questions
- What Fourier series and Generalized Fourier series have in common
- What are the similarities between Fourier series and Generalized Fourier series
Fourier series and Generalized Fourier series Comparison
Fourier series has 129 relations, while Generalized Fourier series has 21. As they have in common 8, the Jaccard index is 5.33% = 8 / (129 + 21).
References
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