PREFACE
OVERVIEW
RIEMANN HYPOTHESIS
NAVIER-STOKES EQUATIONS
YANG-MILLS EQUATIONS
PLASMA DYNAMICS
SPACE QUANTUM DYNAMICS
BOLTZMANN ENTROPY
WAVELETS
WHO I AM
LITERATURE
literature (RH)
literature (Goldbach)
literature (general)


              

Braun K., RH, YME, NSE, GUT, OVERVIEW page

Hauray M., Mean field limit for the one dimensional Vlasov-Poisson equation


A Gamma function idendity and Haar measure


Al-Fhaid A. S., Continued Fraction Evaluation of the Error Function


S. Al-Omari On the Distributional Mellin Transformation and its Extension to Boehmian Spaces.pdf


T. Amdeberhan et. al., integrals of powers of loggammapdf.pdf

   

Anderson M. T., Geometrization of 3-Manifolds via the Ricci Flow


Anderson E., Geometrodynamics, Spacetime or Space


I. Aref eva Quantization of the Riemann Zeta-Function and Cosmology.pdf

     

Azizov T. Y., et all, On Krein s papers in the theory of spaces with an indefinite metric


B. Bagchi On Nyman, Beurling and Baez-Duarte s Hilbert space reformulation of the RH.pdf

 

Belogrivov I. I., On transcendence and algebraic independence of the values of Kummer s functions


Berndt B. C., et all, Koshliakov s formula and Guinand s formula in Ramanujan s lost Notebook


M. V. Berry J. P. Keating H=xp and the Riemann zeros.pdf


Bump D.,Ng E., On Riemann s Zeta Function

The Riemann Zeros and Eigenvalue Asymptotics, SIAM REVIEW, Vol. 41, No. 2, pp. 236-266


M. Boecher On Gibb's Phenomenon.pdf


I. Bogdanova et al Wavelets on the 2-Hyperboloid.pdf

     

Bohm D., Wholeness and the Implicate Order


Braun K. , A new ground state energy model

     

Braun K., Comparison table, math. modelling frameworks for SMEP and GUT


Braun K., A quantum gravity and ground state energy Hilbert space model


Braun K., Global existence and uniqueness of 3D Navier-Stokes equations

   

Braun K., Comparison table, math. modelling frameworks for SMEP and GUT

      

Cao J., DeTurck D., The Ricci Curvature Equation with Rotational Symmetry


Cardon Convolution operators and zeros of entire functions.pdf


Chiang E. Y. M., Classical Analysis, Lecture Notes 2009



Ciufolini, Wheeler, Einstein Geometrodynamics



Chouly F., Heuer N., A Nitsche-based domain decomposition method for hypersingular integral equations


R. Crandall On the quantum zeta funktion.pdf


Degond P., Spectral Theory of the Linearized Vlasov-Poisson Equation


D.Dickinson On Lommel and Bessel Polynomials


G. Doetsch Summatorische Eigenschaft der Bessel Fkt ....


Dritschel M. A., Rovnyak, J., Operators on indefinite inner product spaces


Duffin Weinberger Dualization Poisson Summation Formula.pdf

    

Elaissaoui L., et al, Relating log-tangent integrals with the Riemann zeta function

  

Elaissaoui L., et al., Evaluation of Log-tangent Integrals by series involving zeta(2n+1)


E. Elizalde Spectral Zeta Function for Spherical Aharonow-Bohm Quantum Bags

     

Fan K., Invariant subspaces of certain linear operators


Fichera G., Boundary Value Problems of Elasticity with Unilateral Constraints



C. Fox Solving integral equations by L and L(-1) operators.pdf


Friedrichs K. O., Ueber die Spektralzerlegung eines Integraloperators

  

Gallatin A., Isometric Immersions into Hyperbolic 3-Space


L. Garding The Mathematics of Wiener's Tauberian theorem.pdf


Gasper G., Rahman M., Basic Hypergeometric Series


K.Goedel An Example of a New Type of Cosmological Solutions of Einstein´s Field Equations of Gravitation.pdf


Grant F. C., Vlasov equation eigenvalues and eigenvectors for Fourier-Hermite dispersion matrices of order greater than 1000

     

Greenlee W. M., A quadratic eigenvalue problem


C. Fox Solving integral equations by L and L(-1) operators.pdf


Grigorev, Y., An analytical solution of the ill-posed Cauchy problem for Lame equation in a rectangle




H. Hamburger Ueber einige Beziehungen die mit Funktionalgleichung der Riemann schen Zeta Funktion aequivalent sind.pdf



Heidegger M., Off the Beaten Track



Heidegger M.,The Origin of the Work of Art
 

   

Heidegger M., Der Spruch des Anaximander


E. Hellinger Zur Stieltjesschen Kettenbruchtheorie.pdf.pdf


Higgs P. W., Spontaneous Symmetry Breakdown without Massless Bosons

    

Horvath A. G., Semi-indefinite-inner-product and generalized Minkowski spaces

 

P. Humbert Bessel-integral functions.pdf

  

Iokhvidov I. S., Krein M. G., Spectral theory of operators in space with indefinite metric


Isichenko M. B., Nonlinear Landau damping in collisionless plsma and inviscid fluid




A. Kilicman A note on Mellin transform and distributions.pdf


A. Kilicman A note on the convolution in the Mellin sense with generalized functions.pdf

   

Kleiner B., Lott J., Notes on Perelman s papers


Kolb E., Wolfram S., Spontaneous symmetry breaking and the expansion rate of the early universe


Komatsu T., Hurwitz continued fractions with confluent hypergeometric functions


Koppelmann W., Pincus J. V., Spectral Representations of finite Hilbert transformations


Kowalenko V., Frankel N. E., Asymptotics for the Kummer function of Bose Plasmas


Koppelmann W., On the spectral theory of singular integral Operators

      

Kraus W., Das Wesen des Unendlichen bei Anaximander


G. Lachaud Spectral analysis and the Riemann hypothesis.pdf


Landau E., Ueber eininge aeltere Vermutungen und Behauptungen in der Primzahltheorie


Liu Y. et al., Commutators of Calderon-Zagmund operators related to admissible functions on spaces of homogeneous type and applications to Schroedinger operators


J.Lewis C. Parenti Pseudodifferential operators and Hardy kernels on L(p).pdf


Lifanov, I. K., Nenashev A. S., Generalized functions on Hilbert spaces, singular integral equations, and problems of aerodynamics and electrodynamics

    

Lu Wei-Jun, Evolution equations of curvature tensors along the hyperbolic geometric flow

   

Martelli B., Hyperbolic geometry, surfaces, and 3-manifolds

   

Mason S. J., Zimmermann H. J., Electronic Circuit Theory


McMullen C., Riemann surfaces and the geometrization of 3-manifolds

                       

McMullen C., Complex Analysis


McCabe J. H., A Continued Fraction Expansion, with a Trunction Error Estimate, for Dawson s Integral


H. Mellin Abriss einer einheitlichen Theorie der Gamma und hypergeometrischen Fktn

    

Morgan J. W., Tian G., Ricci Flow and the Poincare Conjecture


N. Nielsen Handbuch der Theorie der Gammafunktion I.pdf

 

 N. Nielsen Handbuch der Theorie der Gammafunktion II.pdf

      

Nitsche J. A., lecture notes, approximation theory in Hilbert scales


     

Nitsche J. A., lecture notes, approximation theory in Hilbert scales, extensions and generalizations
 


Niven I., An Introduction to the Theory of Numbers


Niven I., Numbers, Rational and Irrational

(PeH) Peitgen H.-O., Saupe D., The Science of Fractal Images, Springer Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo

     

Olver F., Lozier D., Boisvert R, Clark C., NIST Handbook of Mathematical Functions


Oswald P., On Besov Hardy Sobolev spaces of analytic functions in the unit disk


Parker J. T., Dellar P. J., Fourier-Hermite spectral representation for the Vlasov-Poisson system in the weakly collisional limit

   

Perelman G. The entropy formula for the Ricci flow and its geometric applications


   

Perelman G., Finite exstinction time for the solutions to the Ricci flow on certain three-manifolds


  

Perelman G., Ricci flow with surgery on three-manifolds


Perron O., Die Lehre von den Kettenbrüchen, Bd. II


Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 1



Pollack D. Initial data for the Cauchy Problem in General Relativity, Lecture 2



Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 3



Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 4



Pollack, D., Initial Data for the Cauchy Problem in general Relativity, references
 

S. Pilipovic, B. Stankovic Tauberian Theorems for Integral Transforms of Distributions.pdf


Polya Trigonometrische Integrale mit nur reellen NS
 


Polya 's theorem


Polya G., Wiener N., On the Oscillation of the Derivative of a Period Function


Riesz F., Sure certains systems d equations fonctionnelles et l approximation des fonctions continues


B. Rubin E. Shamir Calderon´s reproducing formula and singular integral operators on a real line.pdf

(SaM) Sautoy Du, Marcus, Why an Unsolved Problem in Mathematics Matters, 2003, Die Musik der Primzahlen, 2004, DTV, 2004

 

Scott P., The geometries of 3-manifolds


Schafheitlin P., Ueber die Integraldarstellung der allgemeineren hypergeometrischen Reihe


P. Schafleitlin Ueber die Darstellung der hypergeometrischen Reihe durch ein bestimmtes Integral.pdf


Schnee W., Die Funktionalgleichung der Zetafunktion und der Dirichletschen Reihen mit periodischen Koeffizienten


Schneider Th., Transzendenzuntersuchungen periodischer Funktionen II.pdf

  

Schulz W., Ueber die Galoissche Gruppe der Hermiteschen Polynome

  

Serrin J., Mathematical Principles of Classical Fluid Mechanics


Shestakov I., V., Shlapunov A. A., On the Cauchy Problem for Operators with Injective Symbols in Sobolev Spaces




Schur J., Affektlose Gleichnugen in der Theorie der Laguerreschen und Hermiteschen Polynome

  

Shimoji M., Complementary variational formulation of Maxwell s equations in power series form


Schwartz J., Some results on the spectra and spectral resolutions of a class of singular integral Operators


E. Shamir Reduced Hilbert transforms and singular integral equations.pdf


Siegel C. L., Transcendental Numbers, Princeton University Press, 1949


Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 1


Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 2


Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 3


N. Sonine Recherches sur les fonctions cylindriques et le developpement des fonctions continues en series.pdf



Stern A. et. al., Variational Integrators for Maxwell s Equations with Sources

   

Stein E. M., Conjugate harmonic functions in several variables

   

Thorne K., Geometrodynamics, exploring the nonlinear dynamics of curved spacetime ....

       

Thurston W. P., Three Dimensional Manifolds, Kleinian Groups and Hyperbolic Geometry


Villani C., lecture notes on Landau damping


(VoR) Voss R.F., Clarke, J., 1/f noise in Music and speech, Nature 258 (1975) 317-318

(VoR1) Voss R. F., 1/f (flicker) noise: A brief Review, Proc. 32rd Annual Symposium on Frequency Control, Atlantic City, (1979) 40-46


H. Weyl Singuläre Integralgleichungen.pdf

     

Weyl H., Matter, structure of the world, principle of action

   

Weyl H., Space, Time, Matter, introduction.pdf


Weyl H., Das Kontinuum, Eine kritische Untersuchung ueber die Grundlagen der Analysis


Wheeler J. A., On the Nature of Quantum Geometrodynamics

  

Wise D. K., Geometrodynamics and Lorentz symmetry

   

Wolfart J., Werte hypergeometrischer Funktionen


Zhechev B., Hilbert Transform Relations


Lions P. L., On Boltzmann and Landau equations
 

Lions P. L., Compactness in Boltzmann s Fourier integral operators and applications


Montagnini B., The eigenvalue spectrum of the linear Boltzmann operator in L(1)(R(6)) and L(2)(R(6))



Vidav I., Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator



Aziz A. K.,, Kellogg R. B., Finite element analysis of a scattering problem, scattering



Berry M. V., Riemann s Zeta function, a model for quantum chaos

 

Conrad K., Probability distributions and maximum entropy



Marsh C., Introduction to Continuous Entropy



Willett D., Wong J. S. W., On the discrete Analogues of Some Generalizations of Gronwall s Inequality



Ibrahim H., A Generalization of a Logarithmic Sobolev Inequality to the Hoelder Class



Brauer F., Bounds for solutions of ordinary differential equations



Krall A. M., Spectral Analysis for the Generalized Hermite Polynomials



Lakshmikantham V., Upper and lower bounds of the norm of solutions of differential systems



Langenhop C. E., Bounds on the norm of a solution of a general differential equation



Wong W.-C., Kant s Conception of Ether as a Field, in the Opus posthumum


  

Zbiral G., Dark matter and dark energy as a derivate from cosmic photon radiation


  

Zbiral G., Does Gravitation Have an Influence on Electromagnetism

 

Zbiral G., the dynamic gravitation of photons from the perspective of Maxwell s wave equations