QUANTUM STIEFEL MANIFOLD AND DOUBLE COSETS OF QUANTUM UNITARY GROUP (2009)
G. B. Podkolzin, L. I. Vainerman, Dedicated Professor, Yuri L. Daletskii
We study the homogeneous space of the quantum group Uq(n) related to the subgroup Uq(n − m) (m<n), classify its irreducible representations and get a formula for its invariant integral. We also...
EXPLICIT FACTORS OF SOME ITERATED RESULTANTS AND DISCRIMINANTS (2009)
Laurent Busé, Bernard Mourrain, Dedicated Professor, Jean-pierre Jouanolou
Abstract. In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials of a...
DAVIS–WIELANDT SHELLS OF NORMAL OPERATORS CHI-KWONG LI AND YIU-TUNG POON (2009)
Dedicated Professor, Hans Schneider
Abstract. For a finite-dimensional operator A with spectrum σ(A), the following conditions on the Davis–Wielandt shell DW (A) of A are equivalent: (a) A is normal. (b) DW (A) is the convex hull of...
Walter Bergweiler, Alexandre Eremenko, Dedicated Professor, I. N. Baker
Abstract. We show that if a meromorphic function has two completely invariant Fatou components and only finitely many critical and asymptotic values, then its Julia set is a Jordan curve. However,...
David Bao, Dedicated Professor
This article uses the Berwald connection exclusively, together with its two curvatures, to cut an efficient path across the landscape of Finsler geometry. Its goal is to initiate differential...
SAMPLE BEHAVIOR AND LAWS OF LARGE NUMBERS FOR GAUSSIAN RANDOM ELEMENTS (2009)
Z. Ergemlidze, A. Shangua, V. Tarieladze, Dedicated Professor, N. Vakhania
on the occasion of his 70th birthday Abstract. Criteria for almost sure boundedness and convergence to zero almost surely of Banach space valued independent Gaussian random elements are found. The...
Dedicated Professor, Friedrich Buchberger, Cover Trauner Druck
The production of this publication was partially funded by the European Commission Publication of the Pädagogische Akademie des Bundes in OÖ 25 Editor: Dir. Dr. Josef Fragner
FAILURES OF ADAPTIVE CONTROL THEORY AND THEIR RESOLUTION (2008)
Dedicated Professor, Thomas Kailath
Abstract. Adaptive control is a very appealing technology, at least in principle. Yet its use has been conditioned by an attitude of distrustfulness on the part of some practitioners. In this paper,...
Stable Bases of Spline Wavelets on the Interval (2008)
Rong-qing Jia, Dedicated Professor, Charles K. Chui
on the occasion of his 65th birthday Abstract. Following the approach of Chui and Quak, we investigate semi-orthogonal spline wavelets on the unit interval [0, 1]. We give a slightly different...
Synthesis and crystal structures of cis-palladium(II) and cis-platinum(II) complexes (2008)
Noemí Andrade-lópez, Simplicio González-montiel, Araceli Jiménez-pérez, ...
containing dipyridyl ligands
Dedicated Professor, Stephen Wainger
Abstract. Let {X1,..., X2n, T} be a real basis for the Heisenberg Lie algebra hn. In this paper, we calculate the explicit kernels of the Riesz transforms Rj = XjL − 1 2, j = 1, 2, · · · , 2n on...
www.elsevier.nl/locate/camwa The Existence of Circular Florentine Arrays (2008)
Hong-yeop Song, Dedicated Professor, Solomon W. Golomb
Abstract—A k × n circular Florentine array is an array of n distinct symbols in k circular rows such that (1) each row contains every symbol exactly once, and (2) for any pair of distinct symbols...
Dobri/o D. Tosie, Dedicated Professor, D. S. Mitrinovic
of function values at points usually chosen so as to lie in the interval of integration. If x ~ J(x) is a real-valued function, then in numerical quadrature rules function values for complex...
LOCAL COHOMOLOGY AND PURE MORPHISMS ANURAG K. SINGH AND ULI WALTHER (2008)
Dedicated Professor, Phil Griffith
Abstract. We study a question raised by Eisenbud, Mustat¸ǎ, and Stillman regarding the injectivity of natural maps from Ext modules to local cohomology modules. We obtain some positive answers to...
ENTROPY NUMBERS OF DIAGONAL OPERATORS OF LOGARITHMIC TYPE (2008)
Thomas K Ühn, Dedicated Professor, Nicholas Vakhania
on his 70th birthday Abstract. We determine the asymptotic behaviour (as k → ∞, up to multiplicative constants not depending on k) of the entropy numbers ek (Dσ: lp → lq), 1 ≤ p ≤ q ≤...
DEVELOPABLE SURFACE MODELLING BY NEURAL NETWORK MIKLÓS HOFFMANN (2008)
Emőd Kovács, Dedicated Professor, Mátyás Arató
Abstract. In this paper the construction of developable NURBS surface for a set of tangent planes is presented. The problem is handled by the concept of duality of projective spaces. Using a special...
A Characterization of Lp Intersection Bodies (2008)
Christoph Haberl, Monika Ludwig, Dedicated Professor, Peter M. Gruber
of his sixty-fifth birthday All GL(n) covariant Lp radial valuations on convex polytopes are classified for every p> 0.Itisshownthatfor0<p<1there is a unique nontrivial such valuation with...
Quadrature formulae of non-standard type (2008)
Borislav Bojanov, Dedicated Professor, Laura Gori
Abstract: We discuss quadrature formulae of highest algebraic degree of precision for integration of functions of one or many variables which are based on non-standard data, i.e., in which the...
ON CROSSNUMBER PUZZLES AND THE LUCAS-BONACCIO FARM, 1998 (2008)
William Y. Sit, Dedicated Professor, Man-keung Siu
Abstract. A crossnumber puzzle uses a grid much like that for a crossword puzzle and the answers to clues are composed of decimal digits instead of letters of the alphabet. Crossnumber puzzles are...
REGULAR PAIRS IN SPARSE RANDOM GRAPHS I Y. KOHAYAKAWA AND V. R (2008)
Dedicated Professor, Paul Erdős
Abstract. We consider bipartite subgraphs of sparse random graphs that are regular in the sense of Szemerédi and, among other things, show that they must satisfy a certain local pseudorandom...
Some Canonical Sequences of Integers 1. Transformations of sequences (2008)
M. Bernstein, Dedicated Professor, J. J. Seidel, M. Bernstein
Extending earlier work of R. Donaghey and P. J. Cameron, we investigate some canon-ical \eigen-sequences " associated with transformations of integer sequences. Several known sequences...
The Projection Method in Wavelet Analysis (2008)
Bin Han, Dedicated Professor, Charles K. Chui
Abstract. A simple way of obtaining multivariate wavelets is the tensor product of univariate wavelets. Multivariate wavelets are of interest in both theory and application. In this paper, we study...
Peter Borwein, Tamás Erdélyi, Dedicated Professor, George G. Lorentz
Abstract. A subtle Bernstein-type extremal problem is solved by establishing the equality |f sup 0�=f ∈ eE2n
Contemporary Mathematics K3 surfaces with ten cusps (2008)
Ichiro Shimada, De-qi Zhang, Dedicated Professor, Igor V. Dolgachev
Abstract. We show that normal K3 surfaces with ten cusps exist in and only in characteristic 3. We determine these K3 surfaces according to the degrees of the polarizations. Explicit examples are...
HARMONIC MORPHISMS FROM SOLVABLE LIE GROUPS SIGMUNDUR GUDMUNDSSON AND MARTIN SVENSSON (2008)
Dedicated Professor, James Eells
Abstract. In this paper we introduce two new methods for constructing harmonic morphisms from solvable Lie groups. The first method yields global solutions from any simply connected nilpotent Lie...
Abstract Linear maps transforming H-Unitary Matrices (2008)
Chi-kwong Li, Nung-sing Sze, Dedicated Professor, Yung-chow Wong
on the occasion of his 90-th birthday Let H1 be an n × n invertible Hermitian matrix, and let U(H1) be the group of n × n H1-unitary matrices, i.e., matrices A satisfying A ∗ H1A = H1. Suppose H2...
Nobuhiro Asai, Izumi Kubo, Hui-hsiung Kuo, Dedicated Professor, Leonard Gross
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at and a ∗ t be respectively annihilation and creation operators at a point t ∈ R. In the theory...
Quasi-interpolation in shift invariant spaces (2008)
H. N. Mhaskar, F. J. Narcowich, J. D. Ward, Dedicated Professor, S. Varga, ...
Let s ≥ 1 be an integer, φ: R s → R be a compactly supported function, and S(φ) denote the linear span of {φ( · −k) : k ∈ Z s}. We consider the problem of approximating a continuous...
Clemens Heuberger, Attila Pethő, F. Tichy, Dedicated Professor, H. G. Zimmer
Abstract. We consider the family of relative Thue equations x 3 − (t − 1)x 2 y − (t + 2)xy 2 − y 3 = µ, where the parameter t, the root of unity µ and the solutions x and y are integers in...
REGULAR PAIRS IN SPARSE RANDOM GRAPHS I Y. KOHAYAKAWA AND V. R (2008)
Dedicated Professor, Paul Erdős
Abstract. We consider bipartite subgraphs of sparse random graphs that are regular in the sense of Szemerédi and, among other things, show that they must satisfy a certain local pseudorandom...
Nobuhiro Asai, Izumi Kubo, Hui-hsiung Kuo, Dedicated Professor, Leonard Gross
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at and a ∗ t be respectively annihilation and creation operators at a point t∈R. In the theory...
Ternary Trades and Their Codes (2008)
G. B. Khosrovshahi, Reza Naserasr, B. Tayfeh-rezaie, Dedicated Professor, S. S. Shrikhande
In this paper, the notion of trades over finite fields is introduced.
Metric Properties of the Stephanos Bijection (2007)
Dedicated Professor, G. Geise, Herbert Urban
th birthday
J Urgen Prestin, Kathi K. Selig, Dedicated Professor, Dr. Siegfried Prodorf
A particular class of orthogonal trigonometric Schauder bases for C2 is given by periodic wavelet packet functions. These bases are of minimal growth of the polynomial degree. The focus of attention...
Delta Method Approach In A Certain Irregular Condition (2007)
Dedicated Professor, Nariaki Sugiura, Yutaka Kano
Let X n be a sequence of random p-vectors such that a n (X n 0b) L 0! Z, where a n % 1, b 2 R p and Z is a continuously distributed random p-vector. Let f (1) be a measurable mapping from a domain of...
A Dirichlet Problem with Infinite Multiplicity (2007)
Man Kam Kwong, Dedicated Professor, V. Lakshmitkantham
We construct examples of strictly convex functions f on (\Gamma1; 1) satisfying f 0 (\Gamma1) ! n 2 ! f 0 (1) such that the Dirichlet problem u 00 + f(u) = h(x) in [0; ß], u(0) = u(ß) = 0, has an...
Igor E. Pritsker, Dedicated Professor, W. K. Hayman
Abstract. We consider the problem of finding a measure from the given values of its logarithmic potential on the support. It is well known that a solution to this problem is given by the generalized...
Several results for holomorphic mappings from B n into (2005)
Xiaojun Huang, Shanyu Ji, Dekang Xu, Dedicated Professor, F. Treves
Let Bn be the unit ball in Cn. Write Prop(Bn, BN) for the collection of
Convex Preserving Scattered Data Interpolation Using Bivariate ... Cubic Splines (2004)
Ming-jun Lai, Dedicated Professor, Larry L. Schumaker
. We use bivariate C 1 cubic splines to deal with convexity preserving scattered data interpolation problem. Using a necessary and sufficient condition on Bernstein-B'ezier polynomials, we set...
A Limiting Version of a Theorem in Cohomology (2004)
Dedicated Professor, Martin Kneser
This paper completes the study started in [1]. Scheme-theoretic methods are used to classify linebundle-valued rank 3 quadratic bundles. The classification is done in terms of schematic...
Degenerations of Rank 3 Quadratic Bundles and Rank 4 Azumaya Bundles over Schemes (2004)
Dedicated Professor, Martin Kneser
This paper uses scheme-theoretic methods to address algebraic problems about rank 3 quadratic forms and rank 4 Azumaya algebras. It extends well-known results on semiregular rank 3 quadratic bundles...
1.30 2167 2131 1656 Au (exper (2004)
Ming-jun Lai, Dedicated Professor, Charles A. Micchelli
on the occasion of his 60th birthday We propose a constructive method to find compactly supported orthonormal wavelets for any given compactly supported scaling function φ in the multivariate...
Sudhir R. Ghorpade, Gilles Lachaud, Dedicated Professor, Yuri Manin
tira´scīno vitato ra´smir es.ām ∗ Abstract. We prove a general inequality for estimating the number of points ofarbitrary complete intersections over a finite field. This extends a result...
Convex preserving scattered data interpolation using bivariate C cubic splines (2000)
Ming-jun Lai, Dedicated Professor, Larry L. Schumaker
on the occasion of his sixtieth birthday Abstract. We use bivariate C 1 cubic splines to deal with convexity preserving scattered data interpolation problem. Using a necessary and sufficient...
Quasi-Interpolation in Shift Invariant Spaces (2000)
H. N. Mhaskar, F. J. Narcowich, J.D. Ward, Dedicated Professor, S. Varga, ...
Let s # 1 be an integer, # : R s # R be a compactly supported function, and S(#) denote the linear span of {#( - k) : k # Z s }. We consider the problem of approximating a continuous function f : R s...
On the algorithmic complexity of Minkowski's reconstruction problem (1999)
Peter Gritzmann, Alexander Hufnagel, Dedicated Professor, Victor Klee
In 1903 Minkowski showed that, given pairwise different unit vectors u �,…,u m in Euclidean n-space �n which span �n, and positive reals µ �,…,µ m such that �m i= � µ i u i �0,...
On the complexity of rational Puiseux expansions (1999)
P. G. Walsh, Dedicated Professor, Bernard Dwork
Duval defined and studied rational Puiseux expansions. In this paper we first prove that the existence of rational Puiseux expansions follows from the structure of algebraic extensions of a...
Norming Sets and Spherical Cubature Formulas (1998)
K. Jetter, J. Stöckler, J.D. Ward, Dedicated Professor, G. Hammerlin
. We investigate the construction of cubature formulas for the unit sphere in IR n that have almost equal weights. The corresponding knots are taken from equidistributed point sets on the sphere. The...
Functional decomposition of a class of wild polynomials (1998)
Robert S. Coulter, George Havas, Marie Henderson, Dedicated Professor, Anne Penfold Street
Abstract. No general algorithm is known for the functional decomposition of wild polynomials over a finite field. However partial solutions exist. In particular, a fast functional decomposition...
Some p-ranks Related to Finite Geometric Structures (1997)
G. Eric Moorhouse, Dedicated Professor, T. G. Ostrom
The p-rank of the point-hyperplane incidence matrix A of PG(n; p e ) is well-known. Let AS be the submatrix formed by the rows of A indexed by an arbitrary subset S of the points. We show that the...
Squarefree Values Of Polynomials And The Abc-Conjecture (1997)
J. Browkin, M. Filaseta, G. Greaves, A. Schinzel, Dedicated Professor, Christopher Hooley
this article the symbol p denotes a prime. The arbitrarily small real number ffl ? 0 need not be the same on each occurrence.
Metric Properties of the Stephanos Bijection (1995)
Dedicated Professor, G. Geise, Herbert Urban
. The three-dimensional projective image space P 3 of the Stephanos bijection becomes a hyperbolic space P 3 j2 with index 2, if the ruled quadric Q 2 42 which corresponds to the singular...
New Trends in Applied Mathematics (1995)
Dedicated Professor, Cor Baayen, A. Bensoussan
w Areas of physical sciences It would be particularly unrealistic to be exhaustive here. Nevertheless, among important developments in several fields, we emphasize the Numerical Simulation of...
R.: On compositions and triality (1994)
R. Parimala, R. Sridharan, Dedicated Professor, K. Chandrasekharan
th birthday 1
Historical Links to a Lie Theory of Semigroups (1992)
Jimmie D. Lawson, Dedicated Professor, Karl Heinrich Hofmann
this paper is to point out certain connections between this theory and older mathematical work. It would not quite be appropriate to call this older work the roots of the subject, since the modern...
Polynomial Reproduction in Subdivision
Jetter And Zimmermann, K. Jetter, G. Zimmermann, Dedicated Professor, Franz Locher
We study conditions on the matrix mask of a vector subdivision scheme ensuring that certain polynomial input vectors yield polynomial output again. The conditions are in terms of a recurrence formula...