

Bibliography
Analytic
Continuation
unabridged
- Transport coefficients and analytic continuation in dual
(1+1)-dimensional models at finite temperature
Evans T.S.; Gomez Nicola A.; Rivers R.J.; Steer D.A.
Nuclear Physics B, 31 March 2003, vol. 654, no. 3, pp.
357-403(47), Ingenta.
- On the analytic continuation of solutions to nonlinear partial
differential equations
Lope J.E.C.; Tahara H.
Journal des Mathematiques Pures et Appliquees, September 2002,
vol. 81, no. 9, pp. 811-826(16), Ingenta.
- Analytic continuation and resonance-free regions for
Sturm-Liouville potentials with power decay
Brown B.M.; Eastham M.S.P.
Journal of Computational and Applied Mathematics, 1 November 2002,
vol. 148, no. 1, pp. 49-63(15), Ingenta.
- Analytic continuation of massless two-loop four-point
functions
Gehrmann T.; Remiddi E.
Nuclear Physics B, 23 September 2002, vol. 640, no. 1, pp.
379-411(33), Ingenta.
- Analytic continuation for asymptotically AdS 3D gravity
Krasnov K.
Classical and Quantum Gravity, 2002, vol. 19, no. 9, pp.
2399-2424(26), Ingenta.
- The analytic continuation of the high-energy parton-parton
scattering amplitude with an IR cutoff
Meggiolaro E.
Nuclear Physics B, 18 March 2002, vol. 625, no. 1, pp.
312-326(15), Ingenta.
- Analytic continuation of a dynamical zeta function under a
Diophantine condition
Naud F.
Nonlinearity, 2001, vol. 14, no. 5, pp. 995-1009(15),
Ingenta.
- Analytic continuation, singular-value expansions, and
Kramers-Kronig analysis
Dienstfrey A.; Greengard L.
Inverse Problems, 2001, vol. 17, no. 5, pp. 1307-1320(14),
Ingenta.
- Analytic continuation of the Fibonacci Dirichlet
series.
Navas, Luis
Fibonacci Quart. 39 (2001), no.
5, 409--418, MathSciNet.
- Optimal Error of Analytic Continuation from a Finite Set with
Inaccurate Data in Hilbert Spaces of Holomorphic Functions
Maergoiz L.S.; Fedotov A.M.
Siberian Mathematical Journal, 10 September 2001, vol. 42, no. 5,
pp. 926-935(10), Ingenta.
- Stable analytic continuation using hypergeometric
summation
Tuan V.K.
Inverse Problems, 2000, vol. 16, no. 1, pp. 75-87(13),
Ingenta.
- The analytic continuation of the Gaussian hypergeometric
function 2F1(a,b;c;z) for arbitrary parameters
Becken W.; Schmelcher P.
Journal of Computational and Applied Mathematics, 30 December
2000, vol. 126, no. 1, pp. 449-478(30), Ingenta.
- Analytic continuation of Mellin transforms up to two-loop
order
Blumlein J.
Computer Physics Communications, 1 December 2000, vol. 133, no. 1,
pp. 76-104(29), Ingenta.
- Resonances and analytic continuation for exponentially
decaying Sturm-Liouville potentials
Brown B.M.; Eastham M.S.P.; McCormack D.K.R.
Journal of Computational and Applied Mathematics, 1 April 2000,
vol. 116, no. 1, pp. 181-193(13), Ingenta.
- Application of basic hypergeometric series to stable analytic
continuation. Higher transcendental functions and their
applications.
Ali, Ismail; Tuan, Vu Kim
J. Comput. Appl. Math. 118 (2000), no. 1-2, 193--202,
MathSciNet.
- The analytic continuation of moment functions and zeta
functions.
Durán, Ana Lía; Estrada, Ricardo
Bol. Soc. Parana. Mat. (2) 18 (1998), no. 1-2, 191--209 (2000),
MathSciNet.
- Analytic continuation of real-time correlation functions to
obtain thermal rate constants for chemical reaction
Wang H.; Miller W.H.
Chemical Physics Letters, 9 July 1999, vol. 307, no. 5, pp.
463-468(6), Ingenta.
- Zeta functions of crystallographic groups and analytic
continuation.
du Sautoy, M. P. F.; McDermott, J. J.; Smith, G. C.
Proc. London Math. Soc. (3) 79 (1999), no. 3, 511--534,
MathSciNet.
- Why No Analytic Continuation Connects Real-Time and
Imaginary-Time Thermal Propagators
Zuo J.; Gui Y-X.
International Journal of Theoretical Physics, 1 February 1999,
vol. 38, no. 2, pp. 537-543(7), Ingenta.
- Analytic continuation of Matsubara Green's functions
Klepfish E.G.; Creffield C.E.; Pike E.R.
Nuclear Physics B - Proceedings Supplements, April 1998, vol. 63,
no. 1, pp. 655-657(3), Ingenta.
- Analytic Continuation of Complex Gauge Fields
Harris A.
Studies in Applied Mathematics, October 1998, vol. 101, no. 3, pp.
309-319(11), Ingenta.
- Continuity of the generalized hyperbolic zeta function of
lattices and its analytic continuation. (Russian)
Rebrova, I. Yu.
Izv. Tul. Gos. Univ. Ser. Mat. Mekh. Inform. 4 (1998), no. 3,
Matematika, 99--108, MathSciNet.
- Numerical Integration, Analytic Continuation, and
Decomposition
Adomian G.; Rach R.C.; Meyers R.E.
Applied Mathematics and Computation, 30 December 1997, vol. 88,
no. 2, pp. 95-116(22), Ingenta.
- Analytic continuation of fundamental solutions of elliptic
equations. (Russian)
Sternin, B. Yu.; Shatalov, V. E.
Differ. Uravn. 33 (1997), no. 8, 1123--1133, 1152; translation in
Differential Equations 33 (1997), no. 8, 1130--1140,
MathSciNet.
- Numerical
Study of Bifurcations by Analytic Continuation of a Function
Defined by a Power Series
P. G. Drazin; Y. Tourigny
SIAM Journal on Applied Mathematics, Vol. 56, No. 1. (Feb., 1996),
pp. 1-18, Jstor.
- Analytic continuation of the Nikitin exponential model to
non-zero impact parameters
Nesbitt B.S.; O'Rourke S.F.C.; Crothers D.S.F.
Journal of Physics B: Atomic, Molecular and Optical Physics, 1996,
vol. 29, no. 12, pp. 2515-2528(14), Ingenta.
- Bayesian inference and the analytic continuation of
imaginary-time quantum Monte Carlo data
Jarrell M.; Gubernatis J.E.
Physics Reports, May 1996, vol. 269, no. 3, pp. 133-195(63),
Ingenta.
- Collision-Ejection Manifold and Collective Analytic
Continuation of Simultaneous Binary Collisions in the Planar N
-Body Problem
ElBialy M.S.
Journal of Mathematical Analysis and Applications, October 1996,
vol. 203, no. 1, pp. 55-77(23), Ingenta.
- A New Numerical Algorithm for the Analytic Continuation of
Green's Functions
Natoli V.D.; Cohen M.H.; Fornberg B.
Journal of Computational Physics, June 1996, vol. 126, no. 1, pp.
99-108(10), Ingenta.
- On the analytic continuation of rank one Eisenstein
series.
Müller, W.
Geom. Funct. Anal. 6 (1996), no. 3, 572--586,
MathSciNet.
- Analytic continuation of a class of Dirichlet series.
Grabner, P. J.; Thuswaldner, J. M.
Abh. Math. Sem. Univ. Hamburg 66 (1996), 281--287,
MathSciNet.
- Analytic continuation of functions from compact sets of zero
logarithmic capacity. (Russian)
Dovgoshei, A. A.
Dopov. Nats. Akad. Nauk Ukraïni 1996, no. 4, 18--21,
MathSciNet.
- Analytic continuation of generalized susceptibility and
system-reservoir correlation effects
Cataldo H.M.
Journal of Physics A: Mathematical and General, 1995, vol. 28, no.
5, pp. 1205-1217(13), Ingenta.
- Study of the singular anharmonic potentials by means of the
analytic continuation method
Buendia E.; Galvez F.J.; Puertas A.
Journal of Physics A: Mathematical and General, 1995, vol. 28, no.
23, pp. 6731-6738(8), Ingenta.
- Analytic
Continuation of Riemann's Zeta Function and Values at Negative
Integers Via Euler's Transformation of
Series
Jonathan Sondow
Proceedings of the American Mathematical Society, Vol. 120, No. 2.
(Feb., 1994), pp. 421-424, Jstor.
- On the analytic continuation of a function. (Russian)
Kalnin'sh, I. M.
Latv. Mat. Ezhegodnik No. 34 (1993), 125--128, 277,
MathSciNet.
- Analytic continuation with respect to a parameter in a
neighborhood of zero of the Green function of basic exterior
boundary value problems for the Helmholtz equation. (Russian)
Suveika, I. V.
Izv. Akad. Nauk Respub. Moldova Mat. 1993, no. 1, 23--29, 107,
109, MathSciNet.
- Maximum-entropy approach to series extrapolation and analytic
continuation
Drabold D.A.; Jones G.L.
Journal of Physics A: Mathematical and General, 1991, vol. 24, no.
19, pp. 4705-4714(10), Ingenta.
- Über analytische Fortsetzung mit Matrixverfahren.
(German) [On analytic continuation with matrix
methods]
Müller, Jürgen
Mitt. Math. Sem. Giessen No. 199 (1990), iv+88 pp.,
MathSciNet.
- The
Faber Transform and Analytic
Continuation
Elgin Johnston
Proceedings of the American Mathematical Society, Vol. 103, No. 1.
(May, 1988), pp. 237-243, Jstor.
- Twisted
Kloosterman Sums and p-adic Bessel Functions, II: Newton Polygons
and Analytic Continuation
Alan Adolphson; Steven Sperber
American Journal of Mathematics, Vol. 109, No. 4. (Aug., 1987),
pp. 723-764, Jstor.
- Analytic continuation of a wave field in the problem of
scattering of a plane wave by a periodic surface. (Russian)
Kyurkchan, A. G.
Dokl. Akad. Nauk SSSR 292 (1987), no. 6, 1350--1355,
MathSciNet.
- On the stable analytic continuation with a condition of
uniform boundedness.
Stefanescu, I. Sabba
J. Math. Phys. 27 (1986), no. 11, 2657--2686,
MathSciNet.
- Analytic continuation of power series. (Russian)
Mavrodi, N. N.
Dokl. Akad. Nauk Ukrain. SSR Ser. A 1986, no. 4, 17--19, 87,
MathSciNet.
- Weighted polynomial approximation, quasianalyticity and
analytic continuation.
Brennan, James E.
J. Reine Angew. Math. 357 (1985), 23--50,
MathSciNet.
- Nouveaux prolongements analytiques de la solution du
problème de Cauchy linéaire. (French) [New
analytic continuations of the solution of the linear Cauchy
problem]
Leray, Jean
Riv. Mat. Univ. Parma (4) 10 (1984), special vol. 10*, 15--22,
MathSciNet.
- On
Virtual Representations of Symmetric Spaces and Their Analytic
Continuation
J. Frohlich; K. Osterwalder; E. Seiler
The Annals of Mathematics, 2nd Ser., Vol. 118, No. 3. (Nov.,
1983), pp. 461-489, Jstor.
- Analytic
Continuation of Complex Lines
Joseph A. Cima; Josip Globevnik
Proceedings of the American Mathematical Society, Vol. 85, No. 3.
(Jul., 1982), pp. 411-413, Jstor.
- Le domaine d'existence et le prolongement analytique des
solutions des problèmes de Goursat et de Cauchy à
données singulières. (French) [Existence domain
and analytic continuation for the solutions of Goursat and Cauchy
problems with singular data]
Hamada, Yûsaku; Takeuchi, Akira
C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), no. 5,
377--380, MathSciNet.
- Null sets and analytic continuation.
Kaufman, R.
Math. Ann. 260 (1982), no. 1, 63--65, MathSciNet.
- A
Simple Approach to the Analytic Continuation and Values at
Negative Integers for Riemann's
Zeta-Function
David Goss
Proceedings of the American Mathematical Society, Vol. 81, No. 4.
(Apr., 1981), pp. 513-517, Jstor.
- Poles of diagonal Padé approximants and the analytic
continuation of functions. (Russian)
Goncar, A. A.; Lungu, K. N.
Mat. Sb. (N.S.) 111(153) (1980), no. 2, 279--292, 320,
MathSciNet.
- Analytic continuation of the generalized Hadamard product.
(Russian)
Leinartas, E. K.
Some problems of multidimensional complex analysis (Russian), pp.
73--78, 265, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Fiz.,
Krasnoyarsk, 1980, MathSciNet.
- The
Analytic Continuation of the Discrete Series.
II
Nolan R. Wallach
Transactions of the American Mathematical Society, Vol. 251.
(Jul., 1979), pp. 19-37, Jstor.
- The
Analytic Continuation of the Discrete Series.
I
Nolan R. Wallach
Transactions of the American Mathematical Society, Vol. 251.
(Jul., 1979), pp. 1-17, Jstor.
- Le prolongement analytique d'un type de fonctions zêta
généralisées. (French) [The analytic
continuation of a type of generalized zeta functions]
Lachaud, Gilles
Journées Arithmétiques de Luminy (Colloq. Internat.
CNRS, Centre Univ. Luminy, Luminy, 1978), pp. 109--119,
Astérisque, 61, Soc. Math. France, Paris, 1979,
MathSciNet.
- On
the Analytic Continuation of Dirichlet
Series
Ronald Seeling
Proceedings of the American Mathematical Society, Vol. 69, No. 1.
(Apr., 1978), pp. 119-124, Jstor.
- Point evaluations, approximation in the mean and analytic
continuation.
Brennan, James E.
Complex approximation (Proc. Conf., Quebec, 1978), pp. 32--46,
Progr. Math., 4, Birkhäuser, Boston, Mass., 1980,
MathSciNet.
- A method of analytic continuation of a function given by a
Dirichlet series. (Russian)
Gur'janova, K. N.
Trudy Inst. Mat. i Mekh. Ural. Nauchn. Tsentr Akad. Nauk SSSR No.
23 Metody Regulyarizatsii Neustoichivykh Zadach (1976), 27--34,
62, MathSciNet.
- On the question of the analytic continuation of the
logarithmic potential. (Russian)
Suljandziga, P. B.
Dinamika Splo\v sn. Sredy Vyp. 24 Dinamika Zidk. so Svobod.
Granicami (1976), 159--162, 174, MathSciNet.
- Analytic
Continuation, Envelopes of Holomorphy, and Projective and Direct
Limit Spaces
Robert Carmignani
Transactions of the American Mathematical Society, Vol. 209.
(Aug., 1975), pp. 237-258, Jstor.
- On
the Analytic Continuation of the Minakshisundaram-Pleijel Zeta
Function for Compact Riemann Surfaces
Burton Randol
Transactions of the American Mathematical Society, Vol. 201.
(Jan., 1975), pp. 241-246, Jstor.
- Analytic continuation of the hodograph of reflected waves.
(Russian)
Gol'din, S. V.; Suvorov, V. D.
Dokl. Akad. Nauk SSSR 222 (1975), no. 4, 825--828,
MathSciNet.
- Cauchy
Problem and Analytic Continuation for Systems of First Order
Elliptic Equations with Analytic
Coefficients
Chung-Ling Yu
Transactions of the American Mathematical Society, Vol. 185.
(Nov., 1973), pp. 429-443, Jstor.
- Invariant subspaces of analytic functions. Analytic
continuation. (Russian)
Krasickov-Ternovskii, I. F.
Izv. Akad. Nauk SSSR Ser. Mat. 37 (1973), 931--945,
MathSciNet.
- Analytic
Continuation of Eisenstein Series
Joseph Lewittes
Transactions of the American Mathematical Society, Vol. 171.
(Sep., 1972), pp. 469-490, Jstor.
- A
Nonarchimedean Theory of Analytic Continuation in Several
Variables
A. I. Thaler
Proceedings of the American Mathematical Society, Vol. 31, No. 1.
(Jan., 1972), pp. 61-66, Jstor.
- Analytic continuation across a linear boundary.
Beurling, Arne
Acta Math. 128 (1972), no. 3-4, 153--182,
MathSciNet.
- Analytic continuation of generalized functions with respect to
a parameter.
Bernstein, I. N.
Funkcional. Anal. i Prilo\v zen. 6 (1972), no. 4, 26--40,
MathSciNet.
- Eigenfunctions of an operator that correspond to the poles of
the analytic continuation of the resolvent across the continuous
spectrum. (Russian)
Vainberg, B. R.
Mat. Sb. (N.S.) 87(129) (1972), 293--308,
MathSciNet.
- Analytic
Continuation of the Series sum (m +
nz)^-s
Joseph Lewittes
Transactions of the American Mathematical Society, Vol. 159.
(Sep., 1971), pp. 505-509, Jstor.
- Analytic
Continuation of Holomorphic Functions with Values in a Locally
Convex Space
Witold M. Bogdanowicz
Proceedings of the American Mathematical Society, Vol. 22, No. 3.
(Sep., 1969), pp. 660-666, Jstor.
- Analytic
Continuation of the S-Matrix for Potential
Scattering
James S. Howland
Proceedings of the American Mathematical Society, Vol. 21, No. 2.
(May, 1969), pp. 381-385, Jstor.
- Some remarks on analytic continuations.
Yamashita, Shinji
Tôhoku Math. J. (2) 21 1969 328--335,
MathSciNet.
- Certain theorems on the analytic continuation of the resolvent
kernel of the Schrödinger operator with respect to the
spectral parameter. (Russian)
Ramm, A. G.
Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 6, 443--464,
MathSciNet.
- Analytic continuation of the resolvent of a selfadjoint
operator in terms of a continuous spectrum. (Russian)
Djuzenkova, L. I.; Niznik, L. P.
Ukrain. Mat. \v Z. 20 1968 759--765, MathSciNet.
- The possibility of analytic continuation of f lambda for
certain polynomials f. (Russian)
Bernstein, I. N.
Funkcional. Anal. Prilozen 2 1968
no. 1, 92--93, MathSciNet.
- A method for the analytic continuation of the Riemann
zeta-function. (Russian)
Burlacenko, V. P.
Ukrain. Mat. Z. 20 1968 238--243,
MathSciNet.
- On
Analytic Continuation to a Schlicht
Function
Carl H. Fitzgerald
Proceedings of the American Mathematical Society, Vol. 18, No. 5.
(Oct., 1967), pp. 788-792, Jstor.
- The
Cauchy Integral of Tempered Distributions and Some Theorems on
Analytic Continuation (in The Applications of Generalized
Functions)
E. J. Beltrami; M. R. Wohlers
SIAM Journal on Applied Mathematics, Vol. 15, No. 4. (Jul., 1967),
pp. 1077-1087, Jstor.
- Generalized analytic continuation.
Shapiro, Harold S.
1968 Symposia on Theoretical Physics and Mathematics, Vol. 8
(Symposium, Madras, 1967) pp. 151--163 Plenum, New York,
MathSciNet.
- Analytic
Continuation for Functions of Several Complex
Variables
R. H. Cameron; D. A. Storvick
Transactions of the American Mathematical Society, Vol. 125, No.
1. (Oct., 1966), pp. 7-12, Jstor.
- An
Algorithm for Analytic Continuation
Peter Henrici
SIAM Journal on Numerical Analysis, Vol. 3, No. 1. (Mar., 1966),
pp. 67-78, Jstor.
- Some
Problems in Numerical Analytic
Continuation
J. R. Cannon; Keith Miller
Journal of the Society for Industrial and Applied Mathematics:
Series B, Numerical Analysis, Vol. 2, No. 1. (1965), pp. 87-98,
Jstor.
- On analytic continuation of Laurent series.
Brickman, Louis
Michigan Math. J. 12 1965 1--10, MathSciNet.
- Discrete analytic continuation of solutions of difference
equations.
Duffin, R. J.; Duris, C. S.
J. Math. Anal. Appl. 9 1964 252--267, MathSciNet.
- Holomorphic
Completions, Analytic Continuation, and the Interpolation of
Semi-Norms
Errett Bishop
The Annals of Mathematics, 2nd Ser., Vol. 78, No. 3. (Nov., 1963),
pp. 468-500, Jstor.
- Holomorphic
Completions, Analytic Continuation, and the Interpolation of
Semi-Norms
Errett Bishop
The Annals of Mathematics, 2nd Ser., Vol. 78, No. 3. (Nov., 1963),
pp. 468-500, Jstor.
- Analytic continuation by summation-methods.
Meir, Amram
Israel J. Math. 1 1963 224--228, MathSciNet.
- Analytic continuation and asymptotic behavior in angular
momentum of the scattering matrix in potential scattering.
Calogero, F.
Nuovo Cimento (10) 28 1963 66--77, MathSciNet.
- Uniformly
Bounded Representations, II. Analytic Continuation of the
Principal Series of Representations of the n x n Complex
Unimodular Group
R. A. Kunze; E. M. Stein
American Journal of Mathematics, Vol. 83, No. 4. (Oct., 1961), pp.
723-786, Jstor.
- On
the Analytic Continuation of Mapping
Functions
Philip Davis; Henry Pollak
Transactions of the American Mathematical Society, Vol. 87, No. 1.
(Jan., 1958), pp. 198-225, Jstor.
- On
the Analytic Continuation of Newton
Series
V. F. Cowling
Proceedings of the American Mathematical Society, Vol. 2, No. 1.
(Feb., 1951), pp. 28-31, Jstor.
- Summability
and Analytic Continuation
V. F. Cowling
Proceedings of the American Mathematical Society, Vol. 1, No. 4.
(Aug., 1950), pp. 536-542, Jstor.
- On
the Analytic Continuation of Certain $\zeta$-Functions and A
Fundamental Theorem on Simple Algebras
Martin M. E. Eichler
The Annals of Mathematics, 2nd Ser., Vol. 50, No. 4. (Oct., 1949),
pp. 816-826, Jstor.
- Series
to Series Transformations and Analytic Continuation by Matrix
Methods
P. Vermes
American Journal of Mathematics, Vol. 71, No. 3. (Jul., 1949), pp.
541-562, Jstor.
- Analytic
Continuation of Factorial Series
V. F. Cowling
American Journal of Mathematics, Vol. 71, No. 2. (Apr., 1949), pp.
283-286, Jstor.
- Analytic
Continuation of Factorial Series
V. F. Cowling
American Journal of Mathematics, Vol. 71, No. 2. (Apr., 1949), pp.
283-286, Jstor.
- Quasi-Analyticity
and Analytic Continuation--A General
Principle
S. Mandelbrojt
Transactions of the American Mathematical Society, Vol. 55, No. 1.
(Jan., 1944), pp. 96-131, Jstor.
- Analytic
Continuation of Functions Defined by Factorial
Series
Glen T. Miller; Howard K. Hughes
American Journal of Mathematics, Vol. 65, No. 3. (Jul., 1943), pp.
423-432, Jstor.
- A
Theorem Concerning Analytic Continuation for Functions of Several
Complex Variables
A. E. Taylor
The Annals of Mathematics, 2nd Ser., Vol. 40, No. 4. (Oct., 1939),
pp. 855-861, Jstor.
- Analytic
Continuation of Diagonals and Hadamard Compositions of Multiple
Power Series
R. H. Cameron; W. T. Martin
Transactions of the American Mathematical Society, Vol. 44, No. 1.
(Jul., 1938), pp. 1-7, Jstor.
- A
Theorem on Analytic Continuation of Functions in Several
Variables
S. Bochner
The Annals of Mathematics, 2nd Ser., Vol. 39, No. 1. (Jan., 1938),
pp. 14-19, Jstor.
- A
Problem in Geometry Connected with the Analytic Continuation of a
Power Series
T. H. Gronwall
The Annals of Mathematics, 2nd Ser., Vol. 18, No. 2. (Dec., 1916),
pp. 65-69, Jstor.
Return
to the Complex Analysis Project
(c) John
H. Mathews 2003