Add to ORKGAbstract: Oscillatory integrals appear in many problems, including the 50-year old unsolved problem in the Anderson model, where oscillatory integrals with two phases arise when one formulates the mean-square distance in terms of the Heisenberg position and momentum operators. The asymptotic behavior of the mean-square distance depends on the estimate of (t):= Z
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
In this paper we give precise asymptotic expansions and estimates of the remainder R(λ) for oscillat...
AbstractFor aj,bj⩾1, j=1,2,…,d, we prove that the operator Kf(x)=∫R+dk(x,y)f(y)dy maps Lp(R+d) into ...
In this paper, we consider uniform estimates for oscillatory integrals with some phase f...
We develop an asymptotic expansion for oscillatory integrals with real analytic phases. We assume th...
We develop an asymptotic expansion for oscillatory integrals with real analytic phases. We assume th...
Abstract. What follows is a study of the asymptotic behavior of oscillatory integrals of the form Iξ...
We develop an asymptotic expansion for oscillatory integrals with real analytic phases. We assume th...
ABSTRACT. In this paper, we study decay estimates for a two-di-mensional scalar oscillatory integral...
During the last two decades, in several branches of science (water waves, crystal growth, travelling...
"Several aspects of microlocal analysis". October 20～24, 2014. edited by Naofumi Honda, Yasunori Oka...
Oscillatory integral operators have been of interest to both mathematicians and physicists ever sinc...
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
In this paper we give precise asymptotic expansions and estimates of the remainder R(λ) for oscillat...
AbstractFor aj,bj⩾1, j=1,2,…,d, we prove that the operator Kf(x)=∫R+dk(x,y)f(y)dy maps Lp(R+d) into ...
In this paper, we consider uniform estimates for oscillatory integrals with some phase f...
We develop an asymptotic expansion for oscillatory integrals with real analytic phases. We assume th...
We develop an asymptotic expansion for oscillatory integrals with real analytic phases. We assume th...
Abstract. What follows is a study of the asymptotic behavior of oscillatory integrals of the form Iξ...
We develop an asymptotic expansion for oscillatory integrals with real analytic phases. We assume th...
ABSTRACT. In this paper, we study decay estimates for a two-di-mensional scalar oscillatory integral...
During the last two decades, in several branches of science (water waves, crystal growth, travelling...
"Several aspects of microlocal analysis". October 20～24, 2014. edited by Naofumi Honda, Yasunori Oka...
Oscillatory integral operators have been of interest to both mathematicians and physicists ever sinc...
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems...
In this paper we give precise asymptotic expansions and estimates of the remainder R(λ) for oscillat...
AbstractFor aj,bj⩾1, j=1,2,…,d, we prove that the operator Kf(x)=∫R+dk(x,y)f(y)dy maps Lp(R+d) into ...