Move the table outside, like this, then it compiles:
//Set up the ASCII tables
byte nokia5110::ASCII[][5] = {
{0x00, 0x00, 0x00, 0x00, 0x00} // 20
,{0x00, 0x00, 0x5f, 0x00, 0x00} // 21 !
... blah blah
,{0x10, 0x08, 0x08, 0x10, 0x08} // 7e â†
,{0x00, 0x06, 0x09, 0x09, 0x06} // 7f →
};
nokia5110::nokia5110(int SCE, int RESET, int DC, int SDIN, int SCLK)
{
//Set up the pins
pinMode(SCE, OUTPUT);
pinMode(RESET, OUTPUT);
...