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 books.google.com Theorem 8.1.5 (a) For a real function u in ft, u e W(ft) if and only if u e SH(Q) and
—u e SH(Q). ... 8.2 Lelong's theorem In this section, after Lelong and Gruman (
1986), we shall prove Lelong's theorem on the 33problem with the minimal
growth ... 

 books.google.com Starting from Theorem 2, we show that the order of the function f(z , • • □ , z ) is
identical on almost all such planes and ... Lelong considers this theorem as an
obvious corollary of the following theorem of his: For all t, with the possible ... 

 books.google.com ... Green's (in C) 342 Formula, Jensen 219 Formula, Jensen (generalized) 218
Formula, PoincareLelong 214 Formula, Stokes 176 Formula, Stokes' (for
currents) 178 Fubini's theorem 334 Fubini's theorem (differential forms) 334
FubiniSludy ... 

 books.google.com Lelong's Theorem Leibniz Identity d" , d"u dn lu dv d" ru dnv dnv x  +... + U dxn~r
dxr dxn where ("k) is a BINOMIAL COEFFICIENT. This can also be written
explicitly as tic solution to this integral, it gives the solution in a much more
complicated ... 

 books.google.com For functions of several variables, the first precise results were obtained by
Lelong and Stoll. Theorem 6.15 (Lelong, 1953; Stoll, 1953; see [73], [32], [78]).
For any (n — 1 )dimensional analytic set M in C", there exists a holomorphic
function F ... 

 books.google.com ... 29 Euclidean form 98 Euclidean measure 49 Exceptional set 123 Fermat
variety 204 First Main Theorem 168, 214 Frame ... 78, 79, 245 Lelong's theorem
51 Length 3, 10, 11 Length function 1, 3, 9, 103 Lifting 194 Local imbeddings 9
Locally ... 

 books.google.com In fact, we are then immediately reduced to the case where D, is smooth, thanks
to lemma 11.13 and theorem 11.11, ... As adlng h = 30log h(o), where the
function log h(o) is singular, formula (11.10) becomes Lelong's formula 1 _ / co : I
60 ... 

 books.google.com We shall also need a foundational fact due to Lelong [Le 1] and [Le 2]. For an ...
Next we recall Kwack's theorem as extended by Kobayashi and 302
DIOPHANTINE PROBLEMS IN CX)MPLEX HYPERBOLIC ANALYSIS 231.
LELONG'S ... 

 books.google.com Apply Theorem 5 of Carleson ([3], p. 35) and then repeat the argument of
Corollary 2. REMARK 9. It is clear from Corollary 3 of Theorem 6 along with Mme.
Lelong's radial limit theorem for minimally thin sets at oo in R2 (see [6], p. 132)
that the ... 

 books.google.com THEOREM. OF. LELONG. BY THU PHAMGIA Let rn = {z = (zi, z2, . . . , zj : zi e C
and Re(zf) > 0, Vi}. For a multisequence M/' 7 = 0'i./2, ...,/n) and 0<M0)<°°, let z> '
= zi', z'f , . . . , zjr, /=Ik=i/k, q(r) = supn^'/M,} and ^ = £ (log q(r)/l + r2) dr. In [1] ... 

 