《光譜理論雜志》致力于發表有關光譜理論及其應用領域的研究論文。所有長度的文章，包括調查的部分主題是非常歡迎。下面的列表包括光譜理論的幾個方面，以及光譜理論的重要應用領域。薛定諤算子、散射理論與共振;特征值:攝動理論、漸近性和不等式;量子圖，拉普拉斯圖;偽微分算子與半經典分析隨機矩陣理論;安德森模型等隨機介質;非自伴隨矩陣和算子，包括Toeplitz算子;譜幾何，包括流形和自形形式;線性和非線性微分算子，特別是幾何和物理中出現的微分算子;正交多項式;逆問題。

The Journal of Spectral Theory is devoted to the publication of research articles that focus on spectral theory and its many areas of application. Articles of all lengths including surveys of parts of the subject are very welcome.The following list includes several aspects of spectral theory and also fields which feature substantial applications of (or to) spectral theory.Schr?dinger operators, scattering theory and resonances;eigenvalues: perturbation theory, asymptotics and inequalities;quantum graphs, graph Laplacians;pseudo-differential operators and semi-classical analysis;random matrix theory;the Anderson model and other random media;non-self-adjoint matrices and operators, including Toeplitz operators;spectral geometry, including manifolds and automorphic forms;linear and nonlinear differential operators, especially those arising in geometry and physics;orthogonal polynomials;inverse problems.