Los Angeles, California (CNN) -- An autopsy on the body of actress Brittany Murphy was conducted Monday, the Los Angeles County coroner's office said.
Authorities have said the 32-year-old appeared to have died Sunday of natural causes, and there was no sign of foul play or trauma.
"Naturally occurring diseases could be found in any person that could lead to death," said Capt. John Kades of the coroner's office.
The office is looking into Murphy's medical history. A final report could take up to eight weeks. The cause of death will not be released until the toxicology report is concluded, said the coroner's office. That process can take weeks.
Police also are conducting an investigation, which includes robbery and homicide detectives looking at what was in her home, said Los Angeles Police Department spokeswoman Norma Eisenman.
Murphy was pronounced dead at 10:04 a.m. PT (1:04 p.m. ET) Sunday at Cedars-Sinai Medical Center in Los Angeles, hospital spokeswoman Sally Stewart said.
She is survived by her husband, British screenwriter Simon Monjack, whom she married in 2007.
Statistics from the Centers for Disease Control and Prevention show the leading cause of death for American women in Murphy's age range is unintentional injury. Malignant tumors are second, followed by heart disease and suicide.
The often bubbly, free-spirited actress appeared in such films as "Clueless," "8 Mile," "Don't Say a Word" and "Girl, Interrupted." She also lent her voice to animated works, such as the movie "Happy Feet" -- in which she also sang -- and a regular role on the animated TV series "King of the Hill."
"The sudden loss of our beloved Brittany is a terrible tragedy," her family said in a statement issued by her publicist. "She was our daughter, our wife, our love and a shining star. We ask you to respect our privacy at this time." Funeral arrangements are pending, the family said.
Fans have taken to Murphy's official Facebook page to issue their condolences.
"She was a great actress and was going to go far in her career! She will be greatly missed!" read one post.
Former boyfriend -- and "Just Married" co-star -- Ashton Kutcher was one of many celebrities to post his reaction to the news via Twitter.
"2day the world lost a little piece of sunshine. My deepest condolences go out 2 Brittany's family, her husband, & her amazing mother Sharon," Kutcher tweeted.
"see you on the other side kid," he added later.
Singer-actress Jessica Simpson tweeted: "Brittany Murphy was an incredible ray of Light to so many people. Her smile was contagious. My prayers are with her family and loved ones."
Actress Alyssa Milano, who did a USO tour with Murphy in 2003, wrote: "She was a sweet soul, with a lot of talent and heart."
Murphy was best known for her work in a string of romantic comedies earlier this decade, including playing lead roles in "Uptown Girls" alongside fellow Georgia native Dakota Fanning, and "Little Black Book" with Holly Hunter and Kathy Bates, but her movie roles had declined in recent years.
Last month, Murphy was reportedly fired from "The Caller," a movie she was working on in Puerto Rico.
Her representative issued a statement to news outlets disputing the report, saying, "She was not nor has she ever been fired from any job big or small. ... [Due] to creative differences Ms. Murphy and the production mutually parted ways," according to People magazine.
Murphy was the subject of tabloid gossip after she transformed from a pudgy brunette in 1995's "Clueless" to a petite, lithe blonde who graced the cover of such magazines as Cosmopolitan in 2005. She frequently denied rumors of an eating disorder and plastic surgery.
Her love life also was fodder for gossip sites as she broke two engagements in 2004 and 2006, then married Monjack after four months of dating.
"All these ridiculous people came out and said all this nonsense when we got married, [but] thank God we had the substance and the history within that to [say], 'Yeah, whatever!'" Monjack told People in 2008. "We still don't understand what happened. It's made us laugh, it's made us cry, but it's made us stronger."