Hermitian

A number of mathematical entities are named Hermitian, after the mathematician Charles Hermite:

• Hermitian adjoint
• Hermitian connection, the unique connection on a Hermitian manifold that satisfies specific conditions
• Hermitian form, a specific sesquilinear form
• Hermitian function, a complex function whose complex conjugate is equal to the original function with the variable changed in sign
• Hermitian hat wavelet, a low-oscillation, complex-valued wavelet
• Hermitian manifold/structure
  • Hermitian metric, is a smoothly varying positive-definite Hermitian form on each fiber of a complex vector bundle
• Hermitian matrix, a square matrix with complex entries that is equal to its own conjugate transpose
• Hermitian operator, bounded symmetric operators
• Hermitian polynomials, a classical orthogonal polynomial sequence that arise in probability
• Hermitian symmetric space, a Kähler manifold which, as a Riemannian manifold, is a Riemannian symmetric space
• Hermitian transpose, the transpose of a matrix and with the complex conjugate of each entry
• Hermitian variety, a generalisation of quadrics
• Hermitian wavelet, a family of continuous wavelets

See also

• self-adjoint