Proceedings (Mathematical Sciences) Volume 103, 1993 SUBJECT INDEX Absolute Cesaro summability Conjugate series Behaviour of an associated conjugate series of a Behaviour of an associated conjugate series of a Fourier series 295 Fourier series 295 Absolute matrix summability Cusp forms and Maass forms Absolute matrix summability of a factored Transformation formula for exponential sums Fourier series 141 involving Fourier co-efficients of modular forms Absolutely continuous spectrum 1 Absolutely continuous spectrum for sparse Cycle classes potentials 333 Gysin maps and cycle classes for Hodge Affine line cohomology 209 Construction techniques for Galois coverings of the affine line 103 Differential subordination Analytic functions Some applications of Briot-Bouquet differential Some applications of Briot-Bouquet differential subordination 97 subordination 97 Dimension property Antisymmetric set Some remarks on subgroups determined by Bishop decompositions for vector function spaces certain ideals in integral group rings 249 159 Dirichlet L-function Augmentation ideal Dirichlet L-function and power series for Hurwitz Some remarks on subgroups determined by zeta function 27 certain ideals in integral group rings 249 Dirichlet L-series A footnote to mean square value of Dirichlet L-series 127 Basic hypergeometric series On certain Ramanujan’s mock theta functions 257 Elliptic functions Lambert series and Ramanujan 269 Lambert series and Ramanujan 269 Exponential sums Bilateral series Transformation formula for exponential sums On certain Ramanujan’s mock theta functions involving Fourier co-efficients of modular forms 257 1 Bishop decomposition Bishop decompositions for vector function spaces Factored Fourier series 159 Matrix summability of a factored Fourier series Borel automorphism 135 Weakly wandering sets and compressiblity in Absolute matrix summability of a factored descriptive setting 321 _ Fourier series 141 Bounded variation Fourier series Absolute matrix summability of a factored Behaviour of an associated conjugate series of a Fourier series 141 Fourier series 295 Behaviour of an associated conjugated series of Fox’s H-function a Fourier series 295 Simultaneous operational calculus involving a product of a general class of polynomials, Fox’s Chern forms H-function and the multivariable H-function Determinants of parabolic bundles on Riemann 91 surfaces 41 Compressibility Galois group Weakly wandering sets and compressibility in Construction techniques for Galois coverings of descriptive setting 321 the affine line 103 349 350 Subject index General class of polynomials Look-ahead o-field Simultaneous operational calculus involving a On infinitesimal o-fields generated by random product of a general class of polynomials, Fox’s processes 329 H-function and the multivariable H-function Look-back o-field 91 On infinitesimal o-fields generated by random Generalized extra special p-group processes 329 Some remarks on subgroups determined by Lower semicontinuity certain ideals in integral group rings 249 On Fatou’s lemma and parametric integrals for Good reduction set-valued functions 181 Construction techniques for Galois coverings of the affine line 103 M,-graded hypergroups Group ring On M,,-graded hypergroups 167 Some remarks on subgroups determined by Markov processes certain ideals in integral group rings 249 On infinitesimal o-fields generated by random Gysin maps processes 329 Gysin maps and cycle classes for Hodge Matrix summability cohomology 209 Matrix summability of a factored Fourier series 135 h*-upper semicontinuity Measurable multifunctions On Fatou’s lemma and parametric integrals for On Fatou’s lemma and parametric integrals for set-valued functions 181 set-valued functions 181 Hadamard product Meromorphic starlike Convolution properties of some classes of Convolution properties of some classes of meromorphic univalent functions 73 meromorphic univalent functions 73 Hermitian line bundles Mock theta functions Determinants of parabolic bundles on Riemann On certain Ramanujan’s mock theta functions surfaces 41 257 Hodge cohomology Lambert series and Ramanujan 269 Gysin maps and cycle classes for Hodge Multivariable H-function cohomology 209 Simultaneous operational calculus involving a Hurwitz zeta function product of a general class of polynomials, Fox’s Dirichlet L-function and power series for Hurwitz H-function and the multivariable H-function zeta function 27 91 Infinite series Odd order Multipliers for |N, p,; 5|, summability of infinite Oscillation of odd order delay differential series 153 equations 341 Infinite triangular matrix Operational calculus Absolute matrix summability of a factored Simultaneous operational calculus invelving a Fourier series 141 product of a general class of polynomials, Fox’s Integral equation H-function and the multivariable H-function Simultaneous operational calculus involving a 91 product of a general class of polynomials, Fox’s Original and image functions H-function and the multivariable H-function Simultaneous operational calculus involving a 91 product of a general class of polynomials, Fox’s H-function and the multivariable H-function Kahler metric 91 Determinants of parabolic bundles on Riemann Oscillation of all solutions surfaces 41 Oscillation of odd order delay differential equations 341 Lambert series Lambert series and Ramanujan 269 Parabolic bundies Laplace transform Determinants of parabolic bundles on Riemann Simultaneous operational calculus involving a surfaces 41 product of a general class of polynomials, Fox’s Parabolic determinant bundles H-function and the multivariable H-function Determinants of parabolic bundles on Riemann 91 surfaces 41 Subject index 351 Parametrized set-valued integral Summation formula On Fatou’s lemma and parametric integrals for Transformation formula for exponential sums set-valued functions 181 involving Fourier co-efficients of modular forms n-bundles 1 Determinants of parabolic bundles on Riemann Support function surfaces 41 On Fatou’s lemma and parametric integrals for Power series set-valued functions 181 Dirichlet L-function and power series for Hurwitz zeta function 27 Thermohaline convections Banerjee et al’s characterization theorem in Random processes thermohaline convection and its magnetorotatory On infinitesimal o-fields generated by random extensions 197 processes 329 Thermohaline Rayleigh number Retarded nonlinear differential equations Banerjee et als characterization theorem in Oscillation of odd order delay differential thermohaline convection and its magnetorotatory equations 341 extensions 197 Riemann surfaces Transformation formula Determinants of parabolic bundles on Riemann Transformation formula for exponential sums surfaces 41 involving Fourier co-efficients of modular forms Ruscheweyh derivatives 1 Some applications of Briot-Bouquet differential Triangular matrix subordination 97 Matrix summability of a factored Fourier series 135 Set-valued Fatou’s lemma Twisted convolution On Fatou’s lemma and parametric integrals for On regularity of twisted spherical means and set-valued functions 181 special hermite expansions 303 Sobolev spaces On regularity of twisted spherical means and Unramified ccvering special hermite expansions 303 Construction techniques for Galois coverings of Sparse potentials the affine line 103 Absolutely continuous spectrum for sparse potentials 333 Vector function spaces Special Hermite series Bishop decompositions for vector function spaces On regularity of twisted spherical means and 159 special hermite expansions 303 Veronis type Spherical means Banerjee et als characterization theorem in On regularity of twisted spherical means and thermohaline convection and its magnetorotatory special hermite expansions 303 extensions 197 Stern type Banerjee et al’s characterization theorem in Weak upper semicontinuity thermohaline convection and its magnetorotatory On Fatou’s lemma and parametric integrals for extensions 197 set-valued functions 181 Subordination Weakly wandering set Convolution properties of some classes of Weakly wandering sets and compressibility in meromorphic univalent functions 73 descriptive setting 321 Summability factors Multipliers for |N, p,;5|, summability of infinite series 153 AUTHOR INDEX Abhyankar Shreeram S Karan Ram Construction techniques for Galois coverings of see Vermani L R 249 the affine line 103 Krishna M Abid Mohammad Absolutely continuous spectr:im for sparse see Jena Subas Chandra 295 potentials 333 Agarwal R P Lambert series and Ramanujan 269 Lal Girdhari see Chaurasia V B L Bhoosnurmath Subhas S Some applications of Briot-Bouquet differential Mehta H S subordination 97 Bishop decompositions for vector function spaces Biswas I 159 Determinants of parabolic bundles on Riemann Mehta R D surfaces 41 see Mehta HS 159 Bor Hiiseyin Mishra Rashmi Multipliers for |N, p,;6|, summability of infinite see Jena Subas Chandra 135, 141 series 153 Borkar Vivek S Nadkarni M G On infinitesimal o-fields generated by random see Eigen S 321 processes 329 Papageorgiou Nikolaos S Chaurasia V B L On Fatou’s lemma and parametric integrals for Simultaneous operational calculus involving a set-valued functions 181 product of a general class of polynomials, Fox’s Ponnusamy S H-function and the multivariable H-function Convolution properties of some classes of 91 meromorphic univalent functions 73 Popp Herbert Das Pitambar see Abhyankar Shreeram S 103 Oscillation cof odd order delay differential Prakash Jyoti equations 341 Banerjee et al’s characterization theorem in thermohaline convection and its magnetorotatory Eigen S extensions 197 Weakly wandering sets and compressibility in descriptive setting 321 Raghavendra N see Biswas I 41 Gupta Anju Rane V V On certain Ramanujan’s mock theta functions Dirichlet L-function and power series for Hurwitz 257 zeta function 27 A footnote to mean square value of Dirichlet Hajian A L-series 127 see Eigen S 321 Razdan Atul see Vermani L R 249 Jena Subas Chandra Matrix summability of a factored Fourier series Seiler Wolfgang K 135 see Abhyankar Shreeram S 103 Absolute matrix summability of a factored Sharma Savita Fourier series 141 see Prakash Jyoti 197 Behaviour of an associated conjugate series .of a Singh Ajaib Fourier series 295 see Prakash Jyoti 197 352 Author index Srinivas V Vasavada M H Gysin maps and cycle classes for Hodge see Mehta H S 159 cohomology 209 Vermani L R Swain Sakuntala Some remarks on subgroups determined by see Jena Subas Chandra 135 certain ideals in integral group rings 249 Swamy SR Vijayarajan A K see Bhoosnurmath Subhas S 97 On M,-graded hypergroups 167 Thangavelu S Yogananda C S On regularity of twisted spherical means and Transformation formula for exponential sums special hermite expansions 303 involving fourier coefficients of modular forms 1