References

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I. G. Avramidi, Background field calculations in quantum field theory (vacuum polarization), Teor. Mat. Fiz. 79 (1989) 219-231 [Russian]; Theor. Math. Phys. 79 (1989) 494-502 [English].

2

I. G. Avramidi, The covariant technique for calculation of the heat kernel asymptotic expansion, Phys. Lett. B 238 (1990) 92-97

3

I. G. Avramidi, A covariant technique for the calculation of the one-loop effective action, Nucl. Phys. B 355 (1991) 712-754

4

I. G. Avramidi, Covariant methods of studying the nonlocal structure of an effective action, Yad. Fiz. 49 (1989) 1185-1192 [Russian]; Soviet J. Nucl. Phys. 49 (1989) 735-739 [English]

5

I. G. Avramidi, The nonlocal structure of one-loop effective action via partial summation of asymptotic expansion, Phys. Lett. B 236 (1990) 443-449

6

I. G. Avramidi, A new algebraic approach for calculating the heat kernel in gauge theories, Phys. Lett. B 305 (1993) 27-34

7

I. G. Avramidi, Covariant algebraic method for calculation of the low-energy heat kernel, J. Math. Phys. 36 (1995) 5055-5070

8

I. G. Avramidi, The heat kernel on symmetric spaces via integrating over the group of isometries, Phys. Lett. B 336 (1994) 171-177

9

I. G. Avramidi, A new algebraic approach for calculating the heat kernel in quantum gravity, J. Math. Phys. 37 (1996) 374-394

10

I. G. Avramidi and R. Schimming, Heat kernel coefficients to the matrix Schrödinger operator, J. Math. Phys. 36 (1995) 5042-5054

11

I. G. Avramidi and R. Schimming, A new explicit expression for the Korteweg-De Vries hierarchy, Math. Nachr. 219 (2000) 45-64

12

I. G. Avramidi and T. Branson, Heat kernel asymptotics of operators with non-Laplace principal part, Rev. Math. Phys. 6 (2001) 1-44

13

I. G. Avramidi and T. Branson, A discrete leading symbol and spectral asymptotics for natural differential operators, J. Funct. Anal. (2001), to appear

14

I. G. Avramidi, Singularities of Green functions of the products of the Laplace-type operators, Phys. Lett. B 403 (1997) 280-284

15

I. G. Avramidi, Green functions of higher-order differential operators, J. Math. Phys. 39 (1998) 2889-2909

16

I. G. Avramidi, A method for calculating the heat kernel for manifolds with boundary, Yad. Fiz. 56 (1993) 245-252 [Russian]; Phys. Atom. Nucl. 56 (1993) 138-142 [English]

17

I. G. Avramidi, G. Esposito and A. Yu. Kamenshchik, Boundary operators in Euclidean quantum gravity, Class. Quant. Grav. 13 (1996) 2361-2373

18

I. G. Avramidi and G. Esposito, Lack of strong ellipticity in Euclidean quantum gravity, Class. Quant. Grav. 15 (1998) 1141-1152

19

I. G. Avramidi and G. Esposito, Gauge theories on manifolds with boundary, Commun. Math. Phys. 200 (1999) 495-543

20

I. G. Avramidi and G. Esposito, New invariants in the one-loop divergences on manifolds with boundary, Class. Quant. Grav. 15 (1998) 281-297

21

I. G. Avramidi, Heat kernel asymptotics of Zaremba boundary value problem, New Mexico Tech (December 1999) Preprint, 33pp., to be submitted to Math. Phys. Anal. Geom. (2001)

22

I. G. Avramidi, Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem, J. Math. Phys. 36 (1995) 1557-1571

23

I. G. Avramidi, One-loop effective potential in higher-dimensional Yang-Mills theory, Fortschr. Phys. 47 (1999) 433-455

24

I. G. Avramidi and A. O. Barvinsky, Asymptotic freedom in higher-derivative quantum gravity, Phys. Lett. B 159 (1985) 269-274

25

I. G. Avramidi, Asymptotic behaviour of the quantum theory of gravity with higher order derivatives, Yad. Fiz., 44 (1986) 255-263 [Russian]; Soviet J. Nucl. Phys. 44 (1986) 160-164 [English]

26

I. G. Avramidi, Gauge invariant theory of higher spin fields in curved space, Int. J. Mod. Phys. A 6 (1991) 1693-1700

27

I. G. Avramidi, B. G. Barabashov and G. G. Vertogradov, A method of reducing the effect of multipath propagation on the accuracy of determining the angles of arrival of radiowaves, Radiotekhnika, 9 (1983) 69-72, [Russian]; Telecommunications and Radioengineering, 9 (1983) 111-113, [English]

28

I. G. Avramidi, New algebraic methods for calculating the heat kernel and the effective action in quantum gravity and gauge theories, in: `Heat Kernel Techniques and Quantum Gravity', Ed. S. A. Fulling, Discourses in Mathematics and Its Applications, (College Station, Texas: Department of Mathematics, Texas A&M University, 1995), pp. 115-140

29

I. G. Avramidi and R. Schimming, Algorithms for the calculation of the heat kernel coefficients, in: `Quantum Field Theory under the Influence of External Conditions', Ed. M. Bordag, Teubner-Texte zur Physik, Band 30, (Stuttgart: Teubner, 1996), pp. 150-162

30

I. G. Avramidi, Covariant approximation schemes for calculation of the heat kernel in quantum field theory, in: Quantum Gravity, Proc. VIth Moscow Seminar, (Singapore: World Scientific, 1997), pp. 61-78

31

I. G. Avramidi, Nonperturbative methods for calculating the heat kernel, in: Proc. Int. Workshop `Global Analysis, Differential Geometry and Lie Algebras', Thessaloniki, Greece, Dec. 15-17, 1994, Ed. G. Tsagas, (Balcan Press, 1998), pp. 7-21

32

I. G. Avramidi, Covariant techniques for computation of the heat kernel, Rev. Math. Phys., 11 (1999) 947-980

33

I. G. Avramidi, Heat kernel in quantum field theory, math-ph/0107018, 67 pp., Nucl. Phys. (2001), to appear

34

I. G. Avramidi, Heat Kernel and Quantum Gravity, Lecture Notes in Physics, New Series m: Monographs, LNP:m64 (Berlin-New York: Springer-Verlag 2000)