Results: **3**

#### The closed piecewise uniform string revisited

... transfer matrices and Chebyshev polynomials to get a closed formula for the eigenfrequencies. We calculate vacuum and free energy as well as the entropy of this system in two approaches, one using contour integration and another one using a Hurwitz **zeta** **function**. The latter results in a representation in terms of finite sums over polynomials. Several limiting cases are considered as well, for instance, the high-temperature expansion, which is expressed in terms of the heat kernel coefficients. The vacuum ...

#### 1+1-Dimensional Yang — Mills Equations and Mass via Quasiclassical Correction to Action

... Klein — Gordon — Fock equations. It is shown that the Nahm reduction does not work, another, novel choice is proposed and investigated. A quasiclassical quantization of the models is based on Feynmann — Maslov path integral construction and its **zeta** **function** representation in terms of a Green **function** diagonal for an auxiliary heat equation with an elliptic potential. The natural renormalization use a freedom in vacuum state choice as well as the choice of the norm of an evolution operator eigenvectors....

#### Generalized Evans **function** for continuous spectrum

... Ration. Mech. Anal. 2007. 186 (3). P. 361—421.
12.
Deng J.,
Nii S.
An infinite-dimensional Evans **function** theory for elliptic boundary value problems // J. Differential Equations.
2008. 244 (4).
P
. 753—765.
Yurov V.
Evans **function**, **Zeta** **function**, continuous spectrum.
8-12