Invariant estimates of oscillatory integrals with polynomial phase are studied. The main result is a theorem on uniform invariant estimates of trigonometric integrals. The obtained estimates improve Popov’s well-known results on invariant estimates of trigonometric integrals in the case where the phase function is a third-degree polynomial.
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst BNU, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst BNU, Minist Educ, Beijing 100875, Peoples R China
Ding, Yong
Liu, Honghai
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机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst BNU, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst BNU, Minist Educ, Beijing 100875, Peoples R China