This is a multi-part message in MIME format. ---------------1505310410375 Content-Type: text/plain; name="15-45.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="15-45.keywords" Integral operators, convolution kernels, one-dimensional symmetry, De Giorgi Conjecture. ---------------1505310410375 Content-Type: application/pdf; name="convolution-de-giorgi-150528.pdf" Content-Transfer-Encoding: base64 Content-Disposition: inline; filename="convolution-de-giorgi-150528.pdf" JVBERi0xLjQKJdDUxdgKMyAwIG9iaiA8PAovTGVuZ3RoIDE0ODcgICAgICAKL0ZpbHRlciAv RmxhdGVEZWNvZGUKPj4Kc3RyZWFtCnjahVZZc9s4DH7Pr9D0pfJOxPLQ+VYnddpk4zSbZNvu NH1gJTrmVpYSHU367xcg6NTKeGbHMxYJAh+IgwCObg7enIg0kJylqUyCm1UgkpwVKkiTgmUy DW6q4Gs4n0WKy7BtTFTZjWl62za6JmL/a7MxQ/eLdp3px3qYfbs5CyLOZC6CSMas4B5o1XZe qq3HAVB6j7yir27oa5uZzMLB3HVbNeZh1CjgoNOM5Yn00BlBbyFK4JFp+BP/vBI6GBASrinC +1kEhwah3pxIGYiYqTiVz9YXeZCxGP4d8C3nilhFtssaCZkxHoOFsQQZYj6Z5eAE3dxyxWex 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