Category:Generalized functions

• Generalized function

A

• Algebraic analysis

B

• Boehmians

C

• Cauchy principal value
• Convolution quotient
• Crenel function
• Current (mathematics)

D

• Dirac comb
• Dirac delta function
• Distribution (mathematics)

F

• Fourier inversion theorem
• Fourier–Bros–Iagolnitzer transform
• Fundamental solution

G

• Gelfand–Shilov space
• Green's function
• Green's function number

H

• Heaviside step function
• Homogeneous distribution
• Hyperfunction

L

• Laplacian of the indicator
• Limit of distributions

M

• Microlocal analysis
• Multiscale Green's function

O

• Oscillatory integral

P

• Paley–Wiener theorem
• Poisson summation formula
• Principal part
• Pseudo-differential operator

R

• Rigged Hilbert space

S

• Schwartz kernel theorem
• Singularity function
• Spaces of test functions and distributions
• Symmetry of second derivatives

U

• Unit doublet
• Unit impulse

W

• Wave front set
• Weak derivative
• Weak solution
• White noise analysis