Maps on complex manifolds into grassmann spaces defined by reproducing kernels of bergman type

Demonstratio Mathematica

Volumn 30, Issue 2, 1997, Pages 465-474

  Monastyrski, Marcin ^a   Pasternak Winiarski, Zbigniew ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84861919821     PISSN: 04201213     EISSN: 23914661     Source Type: Journal    
DOI: 10.1515/dema-1997-0225     Document Type: Article

References (10)

1. P. Griffiths, J. Harris, Principles of algebraic geometry, Wiley-Interscience Publication, John Wiley k. Sons, New York 1978.
2. S. G. Krantz, Function theory of several complex variables, Intersciences-Willey, New York 1982.
3. S. Lojasiewicz, Wstȩp do geometrii analitycznej zespolonej, PWN, Warszawa 1988.
4. J. W. Milnor, J. D. Stasheff, Characteristic classes, Princeton University Press and University of Tokyo Press, Princeton, New Jersey 1974.
5. A. Odzijewicz, On reproducing kernels and quantizaton of states, Commun. Math. Phys., 114(1988), 577-597.
6. A. Odzijewicz, Coherent states and geometric quantization, Commun. Math. Phys., 150(1992), 385-413.
7. Z. Pasternak-Winiarski, On weights which admit the reproducing kernel of Bergman type, Internat. J. Math. & Math. Sci., 15:1(1992), 1-14.
8. Z. Pasternak-Winiarski and J. Wojcieszyński, Bergman spaces and kernels for holomorphic vector bundles, Demonstratio Math. 30, (1997), 199-214.
9. J. H. Rawnsley, Coherent states and Kähler manifolds, Quart. J. Math., Oxford 28(1977), 403-415.
10. K. Yosida, Functional Analysis, Springer-Verlag, Berlin, Heidelberg, New York 1980.