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A harmonic-type maximal principle in the three chains completion problem (2000)

Biswas, Animikh

Springer

Integral equations and operator theory 36 (2000), S. 396-408

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ISSN: 1420-8989

Keywords: 47A57 ; 47A20 ; 47B35

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this note, we prove a harmonic-type maximal principle for the Schur parametrization of all contractive interpolants in the three chains completion problem (see [4]), which is analogous to the maximal principle proven in [2] in case of the Schur parametrization of all contractive intertwining liftings in the commutant lifting theorem.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01232737

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Regioselective Synthesis ofPyrano[3,2-f]quinolin-2(7H)-onesand Furo[3,2-f]quinolin-2-ones (2000)

Majumdar, Krishna C. ; Ghosh, Safalla K. ; Biswas, Paritosh

Springer

Monatshefte für Chemie 131 (2000), S. 967-973

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ISSN: 1434-4475

Keywords: Keywords. Cyclizations; 5,6-Fused quinolones; Heterocycles; Sigmatropic rearrangement.

Source: Springer Online Journal Archives 1860-2000

Topics: Chemistry and Pharmacology

Notes: Summary. A simple and efficient synthesis of the hitherto unreported ring systems pyrano[3,2-f]quinolin-2(7H)-one and furo[3,2-f]quinolin-2-one was accomplished via a thermal [3,3]-sigmatropic rearrangement.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/PL00010318

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A Quantization on Riemann Surfaces with Projective Structure (2000)

Ben-Zvi, David ; Biswas, Indranil

Springer

Letters in mathematical physics 54 (2000), S. 73-82

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ISSN: 1573-0530

Keywords: projective structure ; symplectic structure ; quantization ; Moyal–Weyl algebra

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract Let X be a Riemann surface equipped with a projective structure. Let $$\mathcal{L}$$ be a square-root of the holomorphic cotangent bundle K X . Consider the symplectic form on the complement of the zero section of $$\mathcal{L}$$ obtained by pulling back the symplectic form on K X using the map ν ↦ ν⊗2. We show that this symplectic form admits a natural quantization. This quantization also gives a quantization of the complement of the zero section in K X equipped with the natural symplectic form.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1007650202446

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