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    Metadata details:
    filename: conv.m
    path of file: ./repos/mtex/SO3Fun/SO3KernelFunctions/@SO3Kernel
    
    the code of the file until where you have to start completion: function psi = conv(psi1,psi2,varargin)
% convolution of an SO3Kernel function with a function or a kernel on SO(3)
%
% We convolute an SO3Kernel $f$ with another SO3Kernel or an SO3Fun $g$
% by the convolution
%
% $$ (f *_L g)(R) = \frac1{8\pi^2} \int_{SO(3)} f(q) \cdot g(q^{-1}\,R) \, dq $$
%
% which in this case is similar to the so caled right sided convolution,
% see SO3FunHarmonic/conv.
%
% The convolution of an SO3Kernel with an S2Kernel or an S2Fun $h$ is
% defined by
%
% $$ (f * h)(\xi) =  \frac1{8\pi^2} \int_{SO(3)} f(q) \cdot h(q^{-1}\,\xi) \, dq $$.
% 
%
% Syntax
%   psi = conv(psi1,psi2)
%   SO3F2 = conv(psi1,SO3F1)
%   sF2 = conv(psi1,sF1)
%   phi2 = conv(psi1,phi1)
%   psi = conv(psi1)
%
% Input
%  psi1, psi2 - @SO3Kernel
%  phi1       - @S2Kernel
%  SO3F1      - @SO3Fun
%  sF1        - @S2Fun
%
% Output
%  psi   - @SO3Kernel
%  SO3F2 - @SO3Fun
%  sF2   - @S2Fun
%  phi2  - @S2Kernel
%

    
function psi = conv(psi1,psi2,varargin)
% convolution of an SO3Kernel function with a function or a kernel on SO(3)
%
% We convolute an SO3Kernel $f$ with another SO3Kernel or an SO3Fun $g$
% by the convolution
%
% $$ (f *_L g)(R) = \frac1{8\pi^2} \int_{SO(3)} f(q) \cdot g(q^{-1}\,R) \, dq $$
%
% which in this case is similar to the so caled right sided convolution,
% see SO3FunHarmonic/conv.
%
% The convolution of an SO3Kernel with an S2Kernel or an S2Fun $h$ is
% defined by
%
% $$ (f * h)(\xi) =  \frac1{8\pi^2} \int_{SO(3)} f(q) \cdot h(q^{-1}\,\xi) \, dq $$.
% 
%
% Syntax
%   psi = conv(psi1,psi2)
%   SO3F2 = conv(psi1,SO3F1)
%   sF2 = conv(psi1,sF1)
%   phi2 = conv(psi1,phi1)
%   psi = conv(psi1)
%
% Input
%  psi1, psi2 - @SO3Kernel
%  phi1       - @S2Kernel
%  SO3F1      - @SO3Fun
%  sF1        - @S2Fun
%
% Output
%  psi   - @SO3Kernel
%  SO3F2 - @SO3Fun
%  sF2   - @S2Fun
%  phi2  - @S2Kernel
%
% See also
% SO3FunHarmonic/conv SO3FunRBF/conv S2FunHarmonic/conv S2Kernel/conv

if nargin == 1, psi2 = psi1; end