By H. F. Baker

Initially released in 1946 as quantity thirty-nine within the Cambridge Tracts in arithmetic and Mathematical Physics sequence, this booklet presents a concise account concerning linear teams. Appendices also are integrated. This e-book may be of price to someone with an curiosity in linear teams and the background of arithmetic.

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Napalkov V. , On subspaces of analytic functions invariant relative to a shill, Izv. Akad. Nauk SSSR, ser. matem. 36 (1972), 1269-1281 (Russian); English transl, in Math. USSR Izvestija 6 (1972), no. 6, 1251-1264. 6. NapMkov V. , On equation of convolution type in tube domains of C 2, Izv. Akm:l. Nauk SSSR, ser. matem. 38 (1974), 446-456 (Russian); English transl, in Math. USSR Izvestija 8 (1974), no. 2, 452-464. 7. Trutnev V. , On convolution equations in convex domains of C '~ , Topics in mathematics (Voprosy matematiki), vol.

Dirichlet Series, Dordrecht, 1972. 9 SOME GENERATED PROBLEMS ABOUT IDEALS BY EXPONENTIAL-POLYNOMIALS C. A. BERENSTEIN AND A. At of entire functions F with growth conditions of the form IF(Z)[ ~< C(1 + [[Z[])Cexp(C max [Re(< Z , 7 j >)[) " l~j4 N The analytic methods used in the resolution of division problems (based either on c~cohomology with bounds (as in [1]) or on an extensive use of the analytic continuation of distributions (as in [2] or [3]) suggest the three following questions: PROBLEM 1.

5 old ON THE SPECTRAL OF ENTIRE SYNTHESIS FUNCTIONS IN SPACES OF NORMAL TYPE V. A. TKACHENKO Let p be a positive real number and let H be a 2~r-periodic lower semi-continuous trigonometrically p-convex function with values in ( - o o , co]. Denote by AJ(H) the set of all trigonometrically p-convex functions h satisfying h(O) < H(O) for every 0 C [0, 27@ For h E Ad(H) let F(h) be the Banach space of all entire functions ~b with the norm IIr = sup Ir176 exp(-h(O)r~ The family { F(h)}heAd(H) is inductive with rer~0 spect to n a t u r a l imbeddings and its inductive limit [p, H(O)) is a space of (LN*)-type in the sense of J.