- In the
theory of
functions of
several complex variables, a
branch of mathematics, a
polydisc is a
Cartesian product of discs. More specifically, if we...
- into H / K = G / P and the
polysphere contains the
polydisk (SU(1,1)/T)r. The
polysphere and
polydisk are the
direct product of r
copies of the Riemann...
- logarithmically-convex
Reinhardt domains, the
simplest example of
which is a
polydisk. However, they also come with some
fundamental restrictions.
Unlike functions...
- {\displaystyle \mathbb {C} ^{n}} ( n ≥ 2 {\displaystyle n\geq 2} ), the ball and
polydisk are both
simply connected, but
there is no
biholomorphic map
between them...
- cohomology. In
polydisks, the Cauchy's
integral formula holds and the
power series expansion of
holomorphic functions is defined, but
polydisks and open unit...
- lemma,
since the
proof of the Dolbeault–Grothendieck
lemma holds on a
polydisk (a
product of
disks in the
complex plane, on
which the multidimensional...
- \ \ {\text{or}}\ \ 1-\varepsilon <|z_{2}|\}} in the two-dimensional
polydisk Δ 2 = { z ∈ C 2 ; | z 1 | < 1 , | z 2 | < 1 } {\displaystyle \Delta ^{2}=\{z\in...
- MR 2491695, S2CID 10402235. Guth,
Larry (2008), "Symplectic
embeddings of
polydisks",
Inventiones Mathematicae, 172 (3): 477–489, arXiv:0709.1957, Bibcode:2008InMat...
- with
values in its
tangent bundle.
Since the base can be ****umed to be a
polydisk, this
process gives a map
between the
tangent space of the base to H 1...
- "Nehari and Nevanlinna-Pick
Problems and
Holomorphic Extensions in the
Polydisk in
Terms of
Restricted BMO".
Journal of
Functional Analysis. 124: 205–210...
