Following Joan Rivers' death, the medical examiner performed an autopsy that has proven to be inconclusive. However, the comedian's funeral has already been scheduled for Sunday.

Rivers, 81, had gone to Yorkville Endoscopy a week ago for a routine elective surgical procedure when she stopped breathing and went into cardiac and respiratory arrest. A week later, on Thursday, she was pronounced dead at Mount Sinai Hospital, and her daughter Melissa Rivers confirmed her mother's passing.

According to CBS News, the New York City medical examiner conducted an autopsy but this proved to be inconclusive. On Friday, spokeswoman Julie Bolcer said that the "cause and manner of death" needs further investigating.

The New York state health department has also began its own investigation into the clinic that handled Rivers' surgery.

"Yorkville Endoscopy is a state of the art facility, staffed by highly experienced endoscopists whose mission is to provide safe and compassionate care to patients and their families," says the clinic's website. It adds that it has been "approved by the Department of Health."

People magazine reports that the clinic has not said much about the incident or the investigation. A spokesperson from the clinic said that information on any patient, including Rivers, could not be released because of health care privacy law.

However, "in the event of an adverse incident, Yorkville Endoscopy would promptly report to appropriate government and regulatory agencies and would proactively cooperate with any governmental review."

Nonetheless, the legendary comedian's funeral will go forward. The ceremony will take place at Temple Emanu-El, according to Us Weekly, on the morning of Sunday, Sept. 7, and will include a red carpet on which guests and the Rivers family will walk as they enter the synagogue.

It is unclear whether Rivers' wishes for her funeral will be fulfilled. In her 2012 memoir "I Hate Everyone...Starting with Me," she outlines what she wants to happen in her funeral, including, "I don't want some rabbi rambling on; I want Meryl Streep crying, in five different accents," and a fan to constantly blow her hair like Beyonce.