메뉴 건너뛰기




Volumn 42, Issue 1, 2002, Pages 1-21

Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036436026     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01203020     Document Type: Article
Times cited : (35)

References (33)
  • 1
    • 0000561456 scopus 로고    scopus 로고
    • Complete nevanlinna-pick kernels
    • J. Agler and J.E. McCarthy, Complete Nevanlinna-Pick kernels, J. Funct. Anal. 175 (2000), 111-124.
    • (2000) J. Funct. Anal. , vol.175 , pp. 111-124
    • Agler, J.1    McCarthy, J.E.2
  • 3
    • 0000768050 scopus 로고
    • The existence of inner functions in a ball
    • A.B. Aleksandrov, The existence of inner functions in a ball, Mat. Sb. (N.S.) 118(160) (1982), 147-163, 287.
    • (1982) Mat. Sb. (N.S.) , vol.118 , Issue.160 , pp. 147-163
    • Aleksandrov, A.B.1
  • 4
    • 26444513654 scopus 로고    scopus 로고
    • Algorithme de Schur, espaces à noyau reproduisant et théorie des systèmes
    • Soc. Math. France, Paris
    • D. Alpay, Algorithme de Schur, espaces à noyau reproduisant et théorie des systèmes, Panor. Synthèses, vol. 6, Soc. Math. France, Paris, 1998.
    • (1998) Panor. Synthèses , vol.6
    • Alpay, D.1
  • 5
    • 21844504698 scopus 로고
    • Two-sided interpolation for matrix functions with entries in the Hardy space
    • D. Alpay and V. Bolotnikov, Two-sided interpolation for matrix functions with entries in the Hardy space, Linear Algebra Appl. 223/224 (1995), 31-56.
    • (1995) Linear Algebra Appl. , vol.223-224 , pp. 31-56
    • Alpay, D.1    Bolotnikov, V.2
  • 6
    • 0039246723 scopus 로고    scopus 로고
    • Hilbert spaces contractively included in the Hardy space of the bidisk
    • D. Alpay, V. Bolotnikov, A. Dijksma, and C. Sadosky, Hilbert spaces contractively included in the Hardy space of the bidisk, Positivity 5 (2001), 25-50.
    • (2001) Positivity , vol.5 , pp. 25-50
    • Alpay, D.1    Bolotnikov, V.2    Dijksma, A.3    Sadosky, C.4
  • 8
    • 0003194601 scopus 로고    scopus 로고
    • Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
    • Birkhäuser, Basel
    • D. Alpay, A. Dijksma, J. Rovnyak, and H. de Snoo. Schur functions, operator colligations, and reproducing kernel Pontryagin spaces, Oper. Theory: Adv. Appl., vol. 96, Birkhäuser, Basel, 1997.
    • (1997) Oper. Theory: Adv. Appl. , vol.96
    • Alpay, D.1    Dijksma, A.2    Rovnyak, J.3    De Snoo, H.4
  • 10
    • 0038184878 scopus 로고    scopus 로고
    • Sous espaces de codimension finie dans la boule unité et un problème de factorisation
    • D. Alpay and H.T. Kaptanoglu, Sous espaces de codimension finie dans la boule unité et un problème de factorisation, C.R. Acad. Sci. Paris Sér. I Math. 331 (2000), 947-952.
    • (2000) C.R. Acad. Sci. Paris Sér. I Math. , vol.331 , pp. 947-952
    • Alpay, D.1    Kaptanoglu, H.T.2
  • 11
    • 0001051011 scopus 로고    scopus 로고
    • Linear fractional transformations: Basic properties, applications to spaces of analytic functions and Schroeder's equation
    • D. Alpay and V. Khatskevich, Linear fractional transformations: basic properties, applications to spaces of analytic functions and Schroeder's equation, Int. J. Appl. Math. 2 (2000), 459-476.
    • (2000) Int. J. Appl. Math. , vol.2 , pp. 459-476
    • Alpay, D.1    Khatskevich, V.2
  • 12
    • 0011599373 scopus 로고    scopus 로고
    • De Branges spaces on real Riemann surfaces
    • D. Alpay and V. Vinnikov, de Branges spaces on real Riemann surfaces, to appear in J. Funct. Anal. (2001).
    • (2001) J. Funct. Anal.
    • Alpay, D.1    Vinnikov, V.2
  • 13
    • 0000360013 scopus 로고
    • Analogues d'espaces de de Branges sur des surfaces de Riemann
    • D. Alpay and V. Vinnikov, Analogues d'espaces de de Branges sur des surfaces de Riemann, C.R. Acad. Sci. Paris Sér. I Math. 318 (1994), 1077-1082.
    • (1994) C.R. Acad. Sci. Paris Sér. I Math. , vol.318 , pp. 1077-1082
    • Alpay, D.1    Vinnikov, V.2
  • 15
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • N. Aronszajn, Theory of reproducing kernels, Trans. Amer. Math. Soc. 68 (1950), 337-404.
    • (1950) Trans. Amer. Math. Soc. , vol.68 , pp. 337-404
    • Aronszajn, N.1
  • 18
    • 84967707839 scopus 로고
    • Positive-definiteness and its applications to interpolation problems for holomorphic functions
    • F. Beatrous and J. Burbea, Positive-definiteness and its applications to interpolation problems for holomorphic functions, Trans. Amer. Math. Soc. 284 (1984), 247-270.
    • (1984) Trans. Amer. Math. Soc. , vol.284 , pp. 247-270
    • Beatrous, F.1    Burbea, J.2
  • 19
    • 0000796185 scopus 로고
    • Complementation in Krein spaces
    • L. de Branges, Complementation in Krein spaces, Trans. Amer. Math. Soc. 305 (1988), 277-291.
    • (1988) Trans. Amer. Math. Soc. , vol.305 , pp. 277-291
    • De Branges, L.1
  • 21
    • 0003237662 scopus 로고
    • J contractive matrix functions, reproducing kernel Hilbert spaces and interpolation
    • Amer. Math. Soc., Providence
    • H. Dym, J contractive matrix functions, reproducing kernel Hilbert spaces and interpolation, CBMS Regional Conf. Ser. in Math., vol. 71, Amer. Math. Soc., Providence, 1989.
    • (1989) CBMS Regional Conf. Ser. in Math. , vol.71
    • Dym, H.1
  • 23
    • 0001933590 scopus 로고
    • The approximation of functions in pseudo-convex domains and a theorem of Z.L. Leibenzon
    • G.M. Henkin, The approximation of functions in pseudo-convex domains and a theorem of Z.L. Leibenzon, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 19 (1971), 37-42.
    • (1971) Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. , vol.19 , pp. 37-42
    • Henkin, G.M.1
  • 24
    • 0011543643 scopus 로고
    • The method of integral representations in complex analysis
    • Itogi Nauki i Tekhniki, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow
    • G.M. Henkin, The method of integral representations in complex analysis, in Current problems in mathematics. Fundamental directions, vol. 7, pp. 23-124, Itogi Nauki i Tekhniki, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1985.
    • (1985) Current problems in mathematics. Fundamental directions , vol.7 , pp. 23-124
    • Henkin, G.M.1
  • 26
    • 0011604030 scopus 로고
    • Pick-Nevanlinna interpolation theorem and multiplication operators on functional Hilbert spaces
    • G. Misra, Pick-Nevanlinna interpolation theorem and multiplication operators on functional Hilbert spaces, Integral Equations Operator Theory 14 (1991), 825-836.
    • (1991) Integral Equations Operator Theory , vol.14 , pp. 825-836
    • Misra, G.1
  • 27
    • 0001418319 scopus 로고
    • The multiplicative structure of J-contractive matrix-functions
    • V.P. Potapov, The multiplicative structure of J-contractive matrix-functions, Trudy Moskow. Mat. Obs. 4 (1955), 125-236. English translation in Amer. Math. Soc. Transl. Ser. 2, vol. 15, pp. 131-243 (1960).
    • (1955) Trudy Moskow. Mat. Obs. , vol.4 , pp. 125-236
    • Potapov, V.P.1
  • 28
    • 0000338056 scopus 로고
    • English translation
    • V.P. Potapov, The multiplicative structure of J-contractive matrix-functions, Trudy Moskow. Mat. Obs. 4 (1955), 125-236. English translation in Amer. Math. Soc. Transl. Ser. 2, vol. 15, pp. 131-243 (1960).
    • (1960) Amer. Math. Soc. Transl. Ser. 2 , vol.15 , pp. 131-243
  • 29
    • 0000430248 scopus 로고
    • For which reproducing kernel Hilbert spaces is Pick's theorem true?
    • P. Quiggin, For which reproducing kernel Hilbert spaces is Pick's theorem true?, Integral Equations Operator Theory 16 (1993), 244-266.
    • (1993) Integral Equations Operator Theory , vol.16 , pp. 244-266
    • Quiggin, P.1
  • 32
    • 0003370457 scopus 로고
    • Theory of reproducing kernels and its applications
    • Longman, Harlow
    • S. Saitoh, Theory of reproducing kernels and its applications, Pitman Res. Notes Math. Ser., vol. 189, Longman, Harlow, 1988.
    • (1988) Pitman Res. Notes Math. Ser. , vol.189
    • Saitoh, S.1
  • 33
    • 51649141644 scopus 로고
    • Sous espaces hilbertiens d'espaces vectoriels topologiques et noyaux as-sociés (noyaux reproduisants)
    • L. Schwartz, Sous espaces hilbertiens d'espaces vectoriels topologiques et noyaux as-sociés (noyaux reproduisants), J. Analyse Math. 13 (1964), 115-256.
    • (1964) J. Analyse Math. , vol.13 , pp. 115-256
    • Schwartz, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.