Matches in SemOpenAlex for { <https://semopenalex.org/work/W3124865324> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W3124865324 endingPage "217" @default.
- W3124865324 startingPage "189" @default.
- W3124865324 abstract "We consider a complex domain D x V in the space C-m x C-n and a family of weighted Bergman spaces on V defined by a weight e(-k phi(z , w)) for a pluri-subharmonic function phi(z, w) with a quantization parameter k. The weighted Bergman spaces define an infinite dimensional Hermitian vector bundle over the domain D. We consider the natural covariant differentiation del(z) on the sections, namely the unitary Chern connections preserving the Bergman norm. We prove a Dixmier trace formula for the curvature of the unitary connection and we find the asymptotic expansion for the curvatures R-(k)(Z,Z) for large k and for the induced connection [del((k))(Z), T-f((k))] on Toeplitz operators T-f. In the special case when the domain D is the Siegel domain and the weighted Bergman spaces are the Fock spaces we find the exact formula for [del((k))(Z), T-f((k))] as Toeplitz operators. This generalizes earlier work of J.E. Andersen in Comm. Math. Phys. 255 (2005), 727-745. Finally, we also determine the formulas for the curvature and for the induced connection in the general case of D x V replaced by a general strictly pseudoconvex domain V subset of C-m x C-n fibered over a domain D subset of C-m. The case when the Bergman space is replaced by the Hardy space on the boundary of the domain is likewise discussed." @default.
- W3124865324 created "2021-02-01" @default.
- W3124865324 creator A5041486839 @default.
- W3124865324 creator A5077166058 @default.
- W3124865324 date "2020-01-01" @default.
- W3124865324 modified "2023-09-27" @default.
- W3124865324 title "CONNECTION AND CURVATURE ON BUNDLES OF BERGMAN AND HARDY SPACES" @default.
- W3124865324 cites W1504272734 @default.
- W3124865324 cites W1561493299 @default.
- W3124865324 cites W2098699262 @default.
- W3124865324 cites W2106861859 @default.
- W3124865324 cites W2108523452 @default.
- W3124865324 cites W2405327937 @default.
- W3124865324 cites W2963070661 @default.
- W3124865324 doi "https://doi.org/10.25537/dm.2020v25.189-217" @default.
- W3124865324 hasPublicationYear "2020" @default.
- W3124865324 type Work @default.
- W3124865324 sameAs 3124865324 @default.
- W3124865324 citedByCount "0" @default.
- W3124865324 crossrefType "journal-article" @default.
- W3124865324 hasAuthorship W3124865324A5041486839 @default.
- W3124865324 hasAuthorship W3124865324A5077166058 @default.
- W3124865324 hasConcept C107264478 @default.
- W3124865324 hasConcept C12520029 @default.
- W3124865324 hasConcept C13355873 @default.
- W3124865324 hasConcept C134306372 @default.
- W3124865324 hasConcept C17139452 @default.
- W3124865324 hasConcept C195065555 @default.
- W3124865324 hasConcept C202444582 @default.
- W3124865324 hasConcept C2524010 @default.
- W3124865324 hasConcept C33923547 @default.
- W3124865324 hasConcept C34388435 @default.
- W3124865324 hasConcept C36503486 @default.
- W3124865324 hasConcept C42178598 @default.
- W3124865324 hasConcept C42448751 @default.
- W3124865324 hasConcept C77791780 @default.
- W3124865324 hasConcept C95857938 @default.
- W3124865324 hasConceptScore W3124865324C107264478 @default.
- W3124865324 hasConceptScore W3124865324C12520029 @default.
- W3124865324 hasConceptScore W3124865324C13355873 @default.
- W3124865324 hasConceptScore W3124865324C134306372 @default.
- W3124865324 hasConceptScore W3124865324C17139452 @default.
- W3124865324 hasConceptScore W3124865324C195065555 @default.
- W3124865324 hasConceptScore W3124865324C202444582 @default.
- W3124865324 hasConceptScore W3124865324C2524010 @default.
- W3124865324 hasConceptScore W3124865324C33923547 @default.
- W3124865324 hasConceptScore W3124865324C34388435 @default.
- W3124865324 hasConceptScore W3124865324C36503486 @default.
- W3124865324 hasConceptScore W3124865324C42178598 @default.
- W3124865324 hasConceptScore W3124865324C42448751 @default.
- W3124865324 hasConceptScore W3124865324C77791780 @default.
- W3124865324 hasConceptScore W3124865324C95857938 @default.
- W3124865324 hasLocation W31248653241 @default.
- W3124865324 hasOpenAccess W3124865324 @default.
- W3124865324 hasPrimaryLocation W31248653241 @default.
- W3124865324 hasRelatedWork W2010739441 @default.
- W3124865324 hasRelatedWork W2041916011 @default.
- W3124865324 hasRelatedWork W2063302274 @default.
- W3124865324 hasRelatedWork W2086234319 @default.
- W3124865324 hasRelatedWork W2087227392 @default.
- W3124865324 hasRelatedWork W2092434939 @default.
- W3124865324 hasRelatedWork W2118950457 @default.
- W3124865324 hasRelatedWork W2149349288 @default.
- W3124865324 hasRelatedWork W2269902246 @default.
- W3124865324 hasRelatedWork W2326134016 @default.
- W3124865324 hasRelatedWork W2391516470 @default.
- W3124865324 hasRelatedWork W2412824543 @default.
- W3124865324 hasRelatedWork W2730770580 @default.
- W3124865324 hasRelatedWork W2779189652 @default.
- W3124865324 hasRelatedWork W2962801166 @default.
- W3124865324 hasRelatedWork W2973848715 @default.
- W3124865324 hasRelatedWork W3048487286 @default.
- W3124865324 hasRelatedWork W3081516910 @default.
- W3124865324 hasRelatedWork W3185991699 @default.
- W3124865324 hasRelatedWork W2132932561 @default.
- W3124865324 hasVolume "25" @default.
- W3124865324 isParatext "false" @default.
- W3124865324 isRetracted "false" @default.
- W3124865324 magId "3124865324" @default.
- W3124865324 workType "article" @default.