000 03096nam a22005415i 4500
001 978-3-031-49885-5
003 DE-He213
005 20251030111455.0
007 cr nn 008mamaa
008 240227s2024 sz | s |||| 0|eng d
020 _a9783031498855
_9978-3-031-49885-5
024 7 _a10.1007/978-3-031-49885-5
_2doi
050 4 _aQA331.7
072 7 _aPBKD
_2bicssc
072 7 _aMAT040000
_2bisacsh
072 7 _aPBKD
_2thema
100 1 _aJerbashian, Armen M.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_972221
245 1 0 _aFunctions of Omega-Bounded Type
_h[electronic resource] :
_bBasic Theory /
_cby Armen M. Jerbashian, Joel E. Restrepo.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXVII, 360 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFrontiers in Mathematics,
_x1660-8054
520 _aThe book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially improves M.M. Djrbashian's theory of spaces Apα (1945) of functions holomorphic in the unit disc, the English translation of the detailed and complemented version of which (1948) is given in Addendum to the book. Besides, the book gives the ω-extensions of M. M. Djrbashian's two factorization theories of functions meromorphic in the unit disc of 1945-1948 and 1966-1975 to classes of functions delta-subharmonic in the unit disc and in the half-plane. The book can be useful for a wide range of readers. It can be a good handbook for Master, PhD students and Postdoctoral Researchers for enlarging their knowledge and analytical methods, as well as a useful resource for scientists who want to extend their investigation fields.
650 0 _aFunctions of complex variables.
_972222
650 0 _aFunctional analysis.
650 0 _aPotential theory (Mathematics).
_972223
650 1 4 _aFunctions of a Complex Variable.
_972224
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
_972225
650 2 4 _aFunctional Analysis.
650 2 4 _aPotential Theory.
_972226
700 1 _aRestrepo, Joel E.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_972227
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031498848
776 0 8 _iPrinted edition:
_z9783031498862
830 0 _aFrontiers in Mathematics,
_x1660-8054
_972228
856 4 0 _uhttps://doi.org/10.1007/978-3-031-49885-5
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c58033
_d58033