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A. 0 reOMeTpz~ecEEx CBOfi-CTBaX e~EHE~HOrO ~apa B ~pocTpSHCTBaX TEna F~aCCOB Xap~E. - 8an. ~0MH, 1974, 39, 7--16o H o f f m a n K. PrenticeHall,Englewood Cliffs, New Jersey, 1962. ~. K EBOMeTpE~eoEofi F ~ a c c E @ E E ~ C~M-MeTpE~L~X ~pocTpS~CTB. M. C~0B) CCCP 394000 BopoHem, BOpOHe~OE~ r0cy~apcTBeHH~fl Y~NBep CET e T EDITORS' NOTE. Here are some more articles connected with isometries of ~ - s p a c e s of analytic and harmonic functions: I. 2. 3. 4. H. Hpo~o~meH~e LP -~30MeTpv~. Hay~H. ~0~, 1971, 22, 103-129.

HayE, 1961, I6, ~ 4, 63-I32. 36 I,ll , (:f(t,D lllp C, IIl, , -t, Classes ~ ~ being invariant with respect to isomorphisms, are a modified generalization of Dragilev's class ~ [4] (see also ~5]); similar dual classes ~ were considered in Vogt'Wagnet [6S . Classes ~ have been used in [7] to give a positive answer to a question of Zerner. Consider the family ~ of all domains with a single cusp: being a non-decreasing C1-function on [0,{] , ~(0) =0 . Then there exists a continuum of mutually non-isomorphic spaces C~Q~) with ~ E ~ .

M a r t i n e a u A. Equations diff~rentielles d'ordre infini. - B u l l . S o c . M a t h . 6. C. de France, 1967, 95, 109-154. H~epRocT~ ~ ~ p ~ e . O-Ba, C~O~CTBa npocTpa~cTB I960, 9, 817--328. Nath. , 1970, 93, 45-60). 7. R o 1 e w i c z S. Metric linear spaces. Warsaw, Monografie ~atematyczne, 56, 1972. 8. A. On weighted polynomial approximation of entire functions. F. , 1971, 36, 523-539. 3. ) if for each point ~ of its boundary ~ there exists an analytic p l a n e { ~ C ~ : ~ 1 + ° ° . +~+~=0~passing through ~ and not intersecting ~ .

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Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima: asymptotic expansions by Simon B.


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