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Examples of orthogonal/orthonormal functions which are not finite degree polynomials?

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#soft-question #big-list #orthogonal-polynomials
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zeros of orthogonal polynomial satisfying $f_n (x) = (x-2n^2) f_{n-1}(x)- n^2 (n-1)^2 f_{n-2}(x)$

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#orthogonal-polynomials
163
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Orthogonality in Space of Polynomials of Degree at Most 2

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#linear-algebra #functional-analysis #inner-products #orthogonal-polynomials #orthogonality
406
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Jordan Normal Form of an Orthogonal Projection

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#linear-algebra #orthogonal-polynomials #linear-transformations #jordan-normal-form
315
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How Find all linear polynomials orthogonal to $f(t) = t$

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#linear-algebra #vector-spaces #orthogonal-polynomials
170
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Explicit formula for the sum of an infinite series with Chebyshev's $U_k$ polynomials

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#real-analysis #summation #orthogonal-polynomials
605
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How to compute orthonormal polynomials from weight function?

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#numerical-methods #orthogonal-polynomials
202
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Integrals of orthogonal polynomials and combinatorics

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#real-analysis #combinatorics #orthogonal-polynomials
76
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orthogonal polynomials: explicit representation

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#recurrence-relations #orthogonal-polynomials
156
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Big error in basis of tensor product space

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#real-analysis #functional-analysis #orthonormal #orthogonal-polynomials #orthogonality
951
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Finding general orthogonal polynomials

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#special-functions #orthogonal-polynomials
206
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Orthogonality of functions related to Legendre polynomials

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#orthogonal-polynomials #approximation-theory #legendre-polynomials
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What does orthogonality mean in function space?

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#linear-algebra #functions #inner-products #orthogonal-polynomials
310
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q-Hermite polynomials

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#special-functions #orthogonal-polynomials #q-series
262
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Finding a vector for an orthonormal basis after using gram-schmidt.

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#linear-algebra #orthonormal #orthogonal-polynomials

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