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Title Generalized functions and their applications / edited by R.S. Pathak
Publish Info New York : Plenum Press, ©1993

Bookmark this record as <https://olc1.ohiolink.edu:443/record=b12500983>

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LibraryLocationCall Number/Serial HoldingsStatus
Ohio State U 18th Ave Library 4th Floor QA324 .G45 1993 AVAILABLE
U of Cincinnati GEOMATHPHYS Stacks math QA324 .G45 1993 AVAILABLE
Wright State Dunbar 3rd Floor QA324 .G45 1993 AVAILABLE

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Contents

 Reproducing Kernels on the Unit Sphere / F. Brackx, R. Delanghe, F. Sommen, N. Van Acker1
 Ultradistributional Boundary Values of Holomorphic Functions / R. D. Carmichael, R. S. Pathak, S. Pilipovivc11
 Cauchy Representation of Distributions and Applications to Probability II / M. A. Chaudhry29
 Applications of Generalized Functions to Shocks and Discrete Models / Y. Choquet-Bruhat37
 Perturbation Expansion for Distributions on Surfaces with Lagrange-Burmann Theorem and Applications to Mechanics / F. Constantinescu51
 Generalized D'Alembert Functional Equation in Distributions / E. Y. Deeba, E. L. Koh53
 Riesz Bases of Special Polynomials in Weighted Sobolev Spaces of Analytic Functions / J. de Graaf61
 Toeplitz Operators Acting on Generalized Functions / M. Hasumi87
 Nonstandard Treatments of New Generalized Functions / R. F. Hoskins, J. Sousa Pinto95
 Interplay between Singularities, Asymptotics and Generalized Functions / R. P. Kanwal109
 Hyperfunctions, Ultradistributions and Microfunctions / H. Komatsu119
 Generalized Functions for the Laplace Transform and Universal Approximants / J. B. Miller131
 An Extension of the Radon Transform / P. Mikusinski, A. Zayed141
 On the Expansion of Zonal Holomorphic Functions on the Complex Sphere / M. Morimoto, R. Wada, K. Fujita149
 A Convolution Structure for Almost Invariant Operators on Homogeneous Banach Space of Distributions / G. S. Pandey157
 Characterization of Functions with Fourier Transforms Supported on Orthants / J. N. Pandey, O. P. Singh167
 Pseudo-Asymptotic Expansion of Generalized Functions / R. S. Pathak175
 Multipliers, Convolutors and Hypoelliptic Convolutors for Tempered Ultradistributions / S. Pilipovic183
 The Hilbert Spaces of Szego Type and Fourier-Laplace Transforms on R[superscript n] / S. Saitoh197
 New Saddle Point Theorems / M. Schechter213
 Multiplication and Quasiasymptotic Behaviour in Generalized Fock Spaces / J. Schmeelk221
 Some Remarks on the Distributional Hankel Transform / O. P. Singh235
 Applications of Distributions and Currents in Complex Analytic Geometry / M. Sitaramayya241
 Structural Problems of the Asymptotic Behaviour of Generalized Functions / B. Stankovic251
 Distributional Form Invariant Linear Systems / A. K. Tiwari265
 On Certain Total Biorthogonal Systems in Banach Spaces / M. Valdivia271
 Analytic Representations of Tempered Distributions Using Wavelets / G. G. Walter281
 A Lower Estimate for the Norm of a Pseudodifferential Operator Modulo Compact Operators / S. Zaidman293
 Contributors299
 Index303
Description ix, 306 pages ; 26 cm
Note "Proceedings of an Intenational Symposium on Generalized Functions and Their Applications, held December 23-26, 1991, in Varanasi, India"--Title page verso
Includes bibliographical references and index
Contents Reproducing Kernels on the Unit Sphere / F. Brackx, R. Delanghe, F. Sommen and N. Van Acker -- Ultradistributional Boundary Values of Holomorphic Functions / R.D. Carmichael, R.S. Pathak and S. Pilipovivc -- Cauchy Representation of Distributions and Applications to Probability II / M.A. Chaudhry -- Applications of Generalized Functions to Shocks and Discrete Models / Y. Choquet-Bruhat -- Perturbation Expansion for Distributions on Surfaces with Lagrange-Burmann Theorem and Applications to Mechanics / F. Constantinescu -- Generalized D'Alembert Functional Equation in Distributions / E.Y. Deeba and E.L. Koh -- Riesz Bases of Special Polynomials in Weighted Sobolev Spaces of Analytic Functions / J. de Graaf -- Toeplitz Operators Acting on Generalized Functions / M. Hasumi -- Nonstandard Treatments of New Generalized Functions / R.F. Hoskins and J. Sousa Pinto -- Interplay between Singularities, Asymptotics and Generalized Functions / R.P. Kanwal
Hyperfunctions, Ultradistributions and Microfunctions / H. Komatsu -- Generalized Functions for the Laplace Transform and Universal Approximants / J.B. Miller -- An Extension of the Radon Transform / P. Mikusinski and A. Zayed -- On the Expansion of Zonal Holomorphic Functions on the Complex Sphere / M. Morimoto, R. Wada and K. Fujita -- A Convolution Structure for Almost Invariant Operators on Homogeneous Banach Space of Distributions / G.S. Pandey -- Characterization of Functions with Fourier Transforms Supported on Orthants / J.N. Pandey and O.P. Singh -- Pseudo-Asymptotic Expansion of Generalized Functions / R.S. Pathak -- Multipliers, Convolutors and Hypoelliptic Convolutors for Tempered Ultradistributions / S. Pilipovic -- The Hilbert Spaces of Szego Type and Fourier-Laplace Transforms on R[superscript n] / S. Saitoh -- New Saddle Point Theorems / M. Schechter -- Multiplication and Quasiasymptotic Behaviour in Generalized Fock Spaces / J. Schmeelk
Some Remarks on the Distributional Hankel Transform / O.P. Singh -- Applications of Distributions and Currents in Complex Analytic Geometry / M. Sitaramayya -- Structural Problems of the Asymptotic Behaviour of Generalized Functions / B. Stankovic -- Distributional Form Invariant Linear Systems / A.K. Tiwari -- On Certain Total Biorthogonal Systems in Banach Spaces / M. Valdivia -- Analytic Representations of Tempered Distributions Using Wavelets / G.G. Walter -- A Lower Estimate for the Norm of a Pseudodifferential Operator Modulo Compact Operators / S. Zaidman
Subjects Theory of distributions (Functional analysis) -- Congresses
Alt Name Pathak, R. S
International Symposium on Generalized Functions and Their Applications (1991 : Vārānasi, Uttar Pradesh, India)
LC NO QA324 .G45 1993
Dewey No 515/.782 20
OCLC # 27171927
ISBN 0306444046
9780306444043
Isn/Std # (OCoLC)27171927 (OCoLC)28333724
LCCN 92042065

Bookmark this record as <https://olc1.ohiolink.edu:443/record=b12500983>


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