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Spectral-theory
New post in Spectral-theory
$uu^T$ is the standard matrix for the orthogonal projection of $\mathbb{R}^n$ on the subspace spanned by $u$
August 1st, 2022
linear-algebra
spectral-theory
eigenvalues-eigenvectors
matrices
The eigenvectors of a matrix and its transpose that correspond to the same eigenvalue are not orthogonal
August 1st, 2022
spectral-theory
linear-algebra
The eigenvalues of a compact and self-adjoint operator on Hilbert space
August 1st, 2022
eigenvalues-eigenvectors
compact-operators
spectral-theory
hilbert-spaces
functional-analysis
Is the converse of the Spectral Theorem true?
August 1st, 2022
spectral-theory
linear-algebra
matrices
eigenvalues-eigenvectors
diagonalization
Proving that every diagonalizable operator is normal
April 12th, 2020
linear-algebra
spectral-theory
diagonalization
quantum-mechanics
operator-theory
Symmetric Operator vs. Real Spectrum
December 29th, 2020
functional-analysis
spectral-theory
hilbert-spaces
Invertibility of $I-A$ if the spectral radius of the operator $A$ is less than $1$
August 1st, 2022
spectral-theory
real-analysis
How to generate noise signal?
August 1st, 2022
spectral-theory
noise
normal-distribution
How to find eigenfunctions of a linear operator (follow-up question)
August 1st, 2022
functional-analysis
integral-equations
spectral-theory
Eigenvalue of the sum of a symmetric matrix and the outer product of it's eigenvector
January 20th, 2020
linear-algebra
spectral-theory
determinant
eigenvalues-eigenvectors
numerical-methods
Spectral theorem for unbounded self-adjoint operators, questions about the proof
February 25th, 2020
operator-theory
functional-analysis
spectral-theory
Eigenvalues of the circle over the Laplacian operator
August 1st, 2022
laplacian
spectral-theory
Prove or disprove: if $\lambda$ is an eigenvalue of square matrix T then so is $\bar\lambda$
July 28th, 2020
spectral-theory
eigenvalues-eigenvectors
linear-algebra
Self-adjoint Operator Properties
November 14th, 2020
hilbert-spaces
spectral-theory
functional-analysis
operator-theory
Complex hermite polynomials as an eigenfunction of an operator?
January 8th, 2020
spectral-theory
special-functions
partial-differential-equations
orthogonal-polynomials
harmonic-analysis
Find the spectral decomposition of $A$
August 1st, 2022
spectral-theory
linear-algebra
matrices
eigenvalues-eigenvectors
Spectrum of a multiplication operator in L^2
December 9th, 2020
functional-analysis
spectral-theory
inverse of self-adjoint operator is self-adjoint
August 1st, 2022
inverse
functional-analysis
spectral-theory
self-adjoint-operators
Representation of a bilinear form on an Hilbert space
August 1st, 2022
bilinear-form
spectral-theory
operator-theory
functional-analysis
linear-algebra
Norm of the Resolvent of a Self-Adjoint Operator
November 9th, 2020
spectral-theory
self-learning
functional-analysis
Do unitarily equivalent operators have the same spectrum?
January 28th, 2020
adjoint-operators
operator-theory
functional-analysis
spectral-theory
Approximate Point Spectrum is subset of Spectrum
May 13th, 2020
functional-analysis
spectral-theory
linear-algebra
What is the importance of phase spectrum in Fourier transform
August 1st, 2022
real-analysis
fourier-analysis
spectral-theory
signal-processing
Left Shift Operator Spectrum
August 1st, 2022
hilbert-spaces
spectral-theory
real-analysis
functional-analysis
How do the solutions to the wave and heat equations converge in general?
August 1st, 2022
hilbert-spaces
functional-analysis
spectral-theory
partial-differential-equations
How to use Parseval' identity( Plancherel)?
August 1st, 2022
fourier-analysis
harmonic-analysis
spectral-theory
Eigenvalues of tridiagonal matrix
June 3rd, 2020
eigenvalues-eigenvectors
tridiagonal-matrices
spectral-theory
orthogonality
linear-algebra
Spectral radius as an upper bound to norm
August 1st, 2022
spectral-theory
functional-analysis
is it true that the infinity norm can be bounded using the $L_2$ norm the following way?
August 1st, 2022
linear-algebra
spectral-theory
Eigenvalue of a unilateral shift operator
November 30th, 2020
spectral-theory
operator-theory
functional-analysis
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