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Proceedings. Mathematical Sciences. Indian Academy of Sciences 1996: Vol 106 Index PDF

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Preview Proceedings. Mathematical Sciences. Indian Academy of Sciences 1996: Vol 106 Index

Proceedings (Mathematical Sciences) Volume 106, 1996 SUBJECT INDEX Absolute Euler summability Cohomology groups Application of the absolute Euler method to some On the first cohomology of cocompact arithmetic series related to Fourier series and its conjugate groups 245 series 13 Compact Riemann surface Acoustic radiation Moduli for principal bundles over algebraic Finite part representations of hyper singular integral curves: I 301 equation of acoustic scattering and radiation by Compact Riemann surface open smooth surfaces 271 Moduli for principal bundles over algebraic Acoustic scattering curves: II 421 Finite part representations of hyper singular integral Controlled Markov chains equation of acoustic scattering and radiation by Distributed computation of fixed points of o- open smooth surfaces 271 nonexpansive maps 289 Almost periodic functions Convolution Weak convergence and weak compactness in the Changing the variable in convolution of distribu- space of almost periodic functions on the real tions 163 line ! Angular projection matrix Deierred Cesaro mean Deriving Karmarkar’s LP algorithm using Degree of approximation of functions by their angular projection matrix 69 Fourier series in the generalized H6lder metric Arithmetic groups 139 On the first cohomology of cocompact arithmetic Distributed algorithm groups 245 Distributed computation of fixed points of oo- Asymptotic behaviour nonexpansive maps 289 Asymptotic behaviour of certain zero-balanced Distributions hypergeometric series 39 Changing the variable in convolution ofd istribu- tions 163 Banach space Division algebra Degree of approximation of functions by their Normal subgroups of SL, i and the classification Fourier series in the generalized Holder metric of finite simple groups 329 139 Elastic strip Banach space Four coplanar Griffith cracks moving in an Degree of approximation of functions associated infinitely long elastic strip under antiplane shear with Hardy—Littlewood series in the Holder stress 91 metric by Euler means 227 Elementary spherical functions Betti numbers A theorem of the Wiener—Tauberian type for Quasi-parabolic Siegel formula 133 L,(H,) 369 Bounds Eigenvalue bounds for Orr—Sommerfeld equation Euler means ‘No backward wave’ theorem 281 Degree of approximation of functions associated Cauchy kernel with Hardy—Littlewood series in the Hdlder Solution of singular integral equations with metric by Euler means 227 logarithmic and Cauchy kernels 261 Cauchy principal value Finite part . Finite part representations of hyper singular integral Finite part representations of hyper singular integral equation of acoustic scattering and radiation by equation of acoustic scattering and radiation by open smooth surfaces 271 open smooth surfaces 271 Changing the variables Finite simple group Changing the variable in convolution of distribu- Normal subgroups of SL, ,, and the classification tions 163 of finite simple groups 329 Class-1 representations Fixed point computation A theorem of the Wiener—Tauberian type for Distributed computation of fixed points of co- L,(H,) 369 nonexpansive maps 289 451 452 Subject index Fourier series Holder metric Application of the absolute Euler method to some Degree of approximation of functions by their series related to Fourier series and its conjugate Fourier series in the generalized H6lder metric series 13 139 Fractional Holder metric Changing the variable in convolution of distribu- Degree of approximation of functions associated tions 163 with Hardy—Littlewood series in the Hdlder Fractional calculus operators metric by Euler means 227 A note on multidimensional modified fractional Homomorphism pairs calculus operators 155 Continuity of homomorphism pairs into H*- Fractional integral operator triple systems 79 On unified fractional integral operators 53 Horospherical patches Frequency equation Limit distributions of expanding translates of Wave propagation in a micropolar generalized certain orbits on homogeneous spaces 105 thermoelastic body with stretch 183 Hyper singular integral Finite part representations of hyper singular Gelfand pairs integral equation of acoustic scattering and A theorem of the Wiener—Tauberian type for radiation by open smooth surfaces 271 EG) 369 General class of polynomials Infinite matrix On unified fractional integral operators 53 Degree of approximation of functions by their Generalized Hoélder metric Fourier series in the generalized Hélder metric Degree of approximation of functions by their 139 Fourier series in the generalized Hélder metric Infinitely differentiable functions 139 Changing the variable in convolution ofd istribu- Generalized parabolic bundles tions 163 Generalized parabolic bundles and applications— oo-nonexpansive map Il 403 Distributed computation of fixed points of oo- Generalized principal series nonexpansive maps 289 Multiplicity formulas for finite dimensional and Integral generalized principal series representations 379 Changing the variable in convolution of distribu- Generalized thermoelastic tions 163 Wave propagation in a micropolar generalized Integral equation thermoelastic body with stretch 183 Finite part representations of hyper singular integral Geometric invariant theory equation of acoustic scattering and radiation by Moduli for principal bundles over algebraic open smooth surfaces 271 curves: I 301 Integro-differential equation Geometric invariant theory A note on a class of singular integro-differential Moduli for principal bundles over algebraic equations 177 curves: IT 421 Graceful New families of graceful banana trees 201 Kampe de Feriet function Asymptotic behaviour of certain zero-balanced H-function hypergeometric series 39 A note on multidimensional modified fractional Karmarkar’s algorithm calculus operators 155 Deriving Karmarkar’s LP algorithm using Hardy-—Littlewood series angular projection matrix 69 Degree of approximation of functions associated with Hardy-—Littlewood series in the Hélder metric by Euler means 227 Lacunary type polynomials Heisenberg group On the zeros of polynomials 127 A theorem of the Wiener—Tauberian type for Limit distributions L,(H,) 369 Limit distributions of expanding translates of Hilbert transform certain orbits on homogeneous spaces 105 Four coplanar Griffith cracks moving in an Linearization infinitely long elastic strip under antiplane shear Linearized oscillations for higher order neutral stress 91 differential equations 169 Subject index 453 Local property Partition function Application of the absolute Euler method to some Multiplicity formulas for finite dimensional and series related to Fourier series and its conjugate generalized principal series representations 379 series 13 Principal bundles Logarithmic kernel Moduli for principal bundles over algebraic Solution of singular integral equations with curves: I , 301 logarithmic and Cauchy kernels 261 Principal bundles Moduli for principal bundles over algebraic Maxima-minima curves: II 421 On maxima-minima 65 Maximal compact subgroup Quadratic forms Multiplicity formulas for finite dimensional and Hardy’s theorem for zeta-functions of quadratic generalized principal series representations 379 forms 217 Mellin convolution Quasi-parabolic divisors On unified fractional integral operators 53 Quasi-parabolic Siegel formula 133 Mellin transform On unified fractional integral operators 53 Mellin transform Reductive Lie algebra and group A note on multidimensional modified fractional Multiplicity formulas for finite dimensional and calculus operators 155 generalized principal series representations 379 Micropolar Reductive algebraic groups Wave propagation in a micropolar generalized Moduli for principal bundles over algebraic thermoelastic body with stretch 183 curves: I 301 Moduli of zeros Reductive algebraic groups On the zeros of polynomials 127 Moduli for principal bundles over algebraic Moving Griffith cracks curves: IT 421 Four coplanar Griffith cracks moving in an Ring shaped region infinitely long elastic strip under antiplane shear On the zeros of polynomials 127 stress 91 Multidimensional operators Scattering A note on multidimensional! modified fractional Solution of singular integral equations with calculus operators 155 logarithmic and Cauchy kernels 261 Multiplicity Siegel formula Multiplicity formulas for finite dimensional and Quasi-parabolic Siegel formula 133 generalized principal series representations 379 Stress intensity factor Multivariable H-function Four coplanar Griffith cracks moving in an On unified fractional integral operators 53 infinitely long elastic strip under antiplane shear stress 91 Neutral differential equations Stretch Linearized oscillations for higher order neutral Wave propagation in a micropolar generalized differential equations 169 thermoelastic body with stretch 183 Nodal curves Summability factor Generalized parabolic bundles and applications— Application of the absolute Euler method to some II 403 series related to Fourier series and its conjugate series 13 Open smooth surfaces Symmetric subgroups Finite part representations of hyper singular integral Limit distributions of expanding translates of equation of acoustic scattering and radiation by certain orbits on homogeneous spaces 105 open smooth surfaces 271 Operators Changing the variable in convolution of distribu- Tapering stepsize tions 163 Distributed computation of fixed points of o- Orr—Sommerfeld equation nonexpansive maps 289 Eigenvalue bounds for Orr—Sommerfeld equation Torsion free sheaves ‘No backward wave’ theorem 281 Generalized parabolic bundles and applications—II Oscillation 403 Linearized oscillations for higher order neutral Trees differential equations 169 New families of graceful banana trees 201 454 Subject index Triple system Weak convergence Continuity of homomorphism pairs into H*- Weak convergence and weak compactness in the triple systems 79 space of almost periodic functions on the real line 1 Weight Unipotent flow Multiplicity formulas for finite dimensional and Limit distributions of expanding translates of generalized principal series representations 379 certain orbits on homogeneous spaces 105 Weil conjucture Quasi-parabolic Siegel formula 133 Water waves Solution of singular integral equations with Zero-balanced hypergeometric series logarithmic and Cauchy kernels 261 Asymptotic behaviour of certain zero-balanced Wave propagation hypergeometric series 39 Wave propagation in a micropolar generalized Zeros near the line sigma equal to half thermoelastic body with stretch 183 Hardy’s theorem for zeta-functions of quadratic Weak compactness in spaces of continuous functions forms 217 Weak convergence and weak compactness in the Zeta-function space of almost periodic functions on the real Hardy’s theorem for zeta-functions of quadratic line 1 forms 217 AUTHOR INDEX Ahuja Gopi Ghosh Tulika Changing the variable in convolution of distribu- see DasG tions 163 Gupta K C Aziz Abdul On unified fractional integral operators On the zeros of polynomials 127 Kumar Rajneesh Bakre M S Wave propagation in a micropolar generalized Multiplicity formulas for finite dimensional and thermoelastic body with stretch 183 generalized principal series representations 379 Bandral Balraj Singh Mandal S C see Banerjee Mihir B 281 see Sarkar J 91 Banerjee Mihir B Eigenvalue bounds for Orr—Sommerfeld equation Nitsure Nitin ‘No backward wave’ theorem 281 Quasi-parabolic Siegel formula Batt J Weak convergence and weak compactness in the Ojha A K space of almost periodic functions on the real see Das G line 1 Bhat-Nayak Vasanti N Parhi N New families of graceful banana trees 201 Linearized oscillations for higher order neutral Bhosle Usha N differential equations 169 Generalized parabolic bundles and applications— Potapchik Alexander II 403 see Rapinchuk Andrei 329 Borkar Vivek S Distributed computation of fixed points of «- Raina R K nonexpansive maps 289 A note on multidimensional modified fractional Bose Sujit K calculus operators 155 Finite part representations of hyper singular integral Ramachandra K equation of acoustic scattering and radiation by Hardy’s theorem for zeta-functions of quadratic open smooth surfaces 271 forms 217 Ramanathan A Chakrabarti A Moduli for principal bundles over algebraic A note on a class of singular integro-differential curves: I 301 equations 177 Ramanathan A Chakrabarti A Moduli for principal bundles over algebraic Solution of singular integral equations with curves: II 421 logarithmic and Cauchy kernels 261 Rapinchuk Andrei Normal subgroups of SL, ,, and the classification Das G of finite simple groups 329 Degree of approximation of functions by their Rawat Rama Fourier series in the generalized H6lder metric A theorem of the Wiener—Tauberian type for 139 L,(A,) 369 Das G Ray BK Degree of approximation of functions associated Application of the absolute Euler method to some with Hardy-—Littlewood series in the Hdlder series related to Fourier series and its conjugate metric by Euler means 227 series 13 Deshmukh Ujwala N Ray BK see Bhat-Nayak Vasanti N 201 see Das G 139 Deshpande M V Ray BK see Batt J see Das G 227 Ghosh M L Sahoo A K see Sarkar J see Ray BK 456 Author index Sahoo T Soni RC see Chakrabarti A 177 see Gupta K C 53 Sahoo T Srivastava Anand Kumar see Chakrabarti A 261 Asymptotic behaviour of certain zero-balanced Sankaranarayanan A hypergeometric series 39 see Ramachandra K 217 Venkaiah V Ch Sarkar J Deriving Karmarkar’s LP algorithm using Four coplanar Griffith cracks moving in an angular projection matrix 69 infinitely long elastic strip under antiplane shear Venkataramana T N stress 91 On the first cohomology of cocompact arithmetic Shah Nimish A groups 245 Limit distributions of expanding translates of Villena A R certain orbits on homogeneous spaces 105 Continuity of homomorphism pairs into H*- Shandil R G triple systems 79 see Banerjee Mihir B 281 Shukla Rama Zargar BA On maxima-minima 65 see Aziz Abdul Singh Baljeet Zohry M see Kumar Rajneesh see Villena AR /

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