WASHINGTON — Lawyers for President Trump said on Sunday that they would not participate in the House Judiciary Committee’s first public impeachment hearing on Wednesday, airing a long list of complaints that they said prevented “any semblance of a fair process.”

Representative Jerrold Nadler, Democrat of New York and the chairman of the committee, had given the White House a Sunday deadline for the president or his lawyers to take up the opportunity to appear at the hearing, where a panel of legal experts will offer an assessment of whether Mr. Trump committed impeachable offenses.

“We cannot fairly be expected to participate in a hearing while the witnesses are yet to be named and while it remains unclear whether the Judiciary Committee will afford the president a fair process through additional hearings,” Pat A. Cipollone, the White House counsel, wrote in a letter to Mr. Nadler, arguing that “an invitation to an academic discussion” would not “provide the president with any semblance of a fair process.”

“Under the current circumstances,” he continued, “we do not intend to participate in your Wednesday hearing.”