zbMath0322.34006MaRDI QIDQ4084569
Yasutaka Sibuya
Publication date: 1975
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asymptotic integration theory for \(f + P(z) f = 0\) ⋮ Three-parameter solutions of the PV Schlesinger-type equation near the point at infinity and the monodromy data ⋮ Lagrangian skeleta and plane curve singularities ⋮ WKB periods for higher order ODE and TBA equations ⋮ Euler continuants in noncommutative quasi-Poisson geometry ⋮ ON THE CAUCHY PROBLEM FOR NON-EFFECTIVELY HYPERBOLIC OPERATORS: THE GEVREY 3 WELL-POSEDNESS ⋮ On the asymptotic behavior of solutions of a certain second order ordinary differential equation ⋮ Spectral Zeta Functions of a 1D Schrödinger Problem ⋮ Improved estimates for the derivatives of the \(O\)-symbols in view of numerical applications ⋮ Quantum resurgence ⋮ Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras ⋮ On the Spectrum of Non-Selfadjoint Schrödinger Operators with Compact Resolvent ⋮ Coulomb-type interaction under Lorentz symmetry breaking effects ⋮ Superpotentials, quantum parameter space and phase transitions in \( \mathcal{N}=1\) supersymmetric gauge theories ⋮ Stokes Multipliers And A Weakly Hyperbolic Operator ⋮ The spectrum of the cubic oscillator ⋮ Parametrices for a class of differential operators with multiple characteristics ⋮ Modélisation du champ de retard à la condensation d'un supraconducteur par un problème de bifurcation ⋮ Double wells: Perturbation series summable to the eigenvalues and directly computable approximations ⋮ PT-symmetric eigenvalues for homogeneous potentials ⋮ Precise estimates for tunneling and eigenvalues near a potential barrier ⋮ Stokes' phenomenon and the absolutely continuous spectrum of one-dimensional Schrödinger operators ⋮ Krein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-Hermiticity ⋮ The semiclassical regime for ablation front models ⋮ Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations ⋮ Entire functions with two radially distributed values ⋮ Y-system and deformed thermodynamic Bethe Ansatz ⋮ Non-accretive Schrödinger operators and exponential decay of their eigenfunctions ⋮ On Evgrafov-Fedoryuk's theory and quadratic differentials ⋮ On eigenvalues of the Schrödinger operator with an even complex-valued polynomial potential ⋮ Weak noise and non-hyperbolic unstable fixed points: sharp estimates on transit and exit times ⋮ Unnamed Item ⋮ Bender-Wu singularities ⋮ Spectral instability for even non-selfadjoint anharmonic oscillators ⋮ On the absolute continuity of Schrödinger operators with spherically symmetric, long-range potentials, II ⋮ New Characterizations for the Eigenvalues of the Prolate Spheroidal Wave Equation ⋮ ODE/IM correspondence and the Argyres-Douglas theory ⋮ Localization of the states of a \(PT\)-symmetric double well ⋮ On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential ⋮ Poles of Painlevé IV rationals and their distribution ⋮ Anharmonic oscillators in the complex plane, \(\mathcal{PT}\)-symmetry, and real eigenvalues ⋮ On the monodromy of the deformed cubic oscillator ⋮ Asymptotics of the solution to the boundary-value problems when limited equation has singular point ⋮ Estimations asymptotiques des intervalles d'instabilité pour l'équation de Hill ⋮ The damped wave equation with unbounded damping ⋮ Semiclassical asymptotics of transition matrices for difference equations with two coalescing turning points ⋮ Uniform asymptotic properties of the WKB method ⋮ Continuous limit of the difference second Painlevé equation and its asymptotic solutions ⋮ Resurgence-summability of ramified formal series depending of a parameter and solutions of linear differential equations ⋮ Exact WKB and abelianization for the \(T_3\) equation ⋮ Zeros of eigenfunctions of some anharmonic oscillators ⋮ An existence criterion for the \(\mathcal{PT}\)-symmetric phase transition ⋮ On oscillation, continuation, and asymptotic expansions of solutions of linear differential equations ⋮ High energy eigenfunctions of one-dimensional Schrödinger operators with polynomial potentials ⋮ On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations ⋮ TBA equations and resurgent quantum mechanics ⋮ The large-\(g\) observability of the low-lying energies in the strongly singular potentials \(V(x)=x^2+g^2/x^6\) after their \(\mathcal PT\)-symmetric regularization ⋮ Determination ofS-curves with applications to the theory of non-Hermitian orthogonal polynomials ⋮ On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness ⋮ Extended Airy function and differential equations with \(n\)-turning points ⋮ Twenty years of ordinary differential equations through twelve Oberwolfach meetings ⋮ Quantum resurgence for a class of Airy type differential equations ⋮ On the complex zeros of solutions of linear differential equations ⋮ On Complex Oscillation Theory ⋮ Entire functions, PT-symmetry and Voros's quantization scheme ⋮ Quasiconformal surgery and linear differential equations ⋮ Unnamed Item ⋮ Stokes coefficients of the cubic model: a quantum resurgence viewpoint ⋮ On the simpleness of zeros of Stokes multipliers ⋮ Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator ⋮ From exact-WKB towards singular quantum perturbation theory ⋮ Asymptotics of eigenvalues of non-self-adjoint Schrödinger operators on a half-line ⋮ Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions ⋮ Meromorphic projective structures, grafting and the monodromy map ⋮ Stability conditions and cluster varieties from quivers of type \(A\) ⋮ The Cauchy problem for differential operators with double characteristics ⋮ Counting Coxeter's friezes over a finite field via moduli spaces ⋮ Critical graph of a polynomial quadratic differential related to a Schrödinger equation with quartic potential ⋮ Analytic continuation of eigenvalues of a quartic oscillator ⋮ The real spectrum of the imaginary cubic oscillator: an expository proof ⋮ Semiclassical asymptotics for a difference Schrödinger equation with two coalescent turning points ⋮ Calculation of the eigenvalues of Schrödinger equations by an extension of Hill's method ⋮ A third order linear differential equation on the real line with two turning points ⋮ Decay and regularity for harmonic oscillator-type equations ⋮ Remarques sur la théorie de développement asymptotique en plusieurs variables ⋮ Analytic classification of families of linear differential systems unfolding a resonant irregular singularity ⋮ A new proof of Okaji's theorem for a class of sum of squares operators ⋮ Representation theorem for the solutions of equations with the turning point of infinite order ⋮ Second-order linear differential equations with two irregular singular points of rank three: The characteristic exponent ⋮ On the relation between Stokes multipliers and the \(T\)-\(Q\) systems of conformal field theory ⋮ Differential equations and integrable models: the \(\text{SU}(3)\) case ⋮ Entire functions of finite order as solutions to certain complex linear differential equations ⋮ Holomorphic quadratic differentials in Teichmüller theory ⋮ Observable sets, potentials and Schrödinger equations ⋮ A limiting absorption principle for Schrödinger operators with oscillating potentials. Part I: \(-\Delta +c \sin(b| x|^{\alpha})/| x|^{\beta}\) for certain c,\(\alpha\),\(\beta\) ⋮ Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems ⋮ Phase structure and asymptotic zero densities of orthogonal polynomials in the cubic model ⋮ Counterexamples to \(C^{\infty}\) well posedness for some hyperbolic operators with triple characteristics ⋮ The potential (iz)m generates real eigenvalues only, under symmetric rapid decay boundary conditions ⋮ Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains
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